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Finding the Fourth Proportional to 157,478.12, 217,316.88 and 85,858.76

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Solution

The fourth proportional to 157,478.12, 217,316.88 and 85,858.76 is: 118,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,478.12 : 217,316.88 = 85,858.76 : x
  2. Step 2: Convert to fraction form
    157,478.12/217,316.88 = 85,858.76/x
  3. Step 3: Cross multiply
    157,478.12x = 217,316.88 × 85,858.76
  4. Step 4: Simplify right side
    157,478.12x = 18,658,557,843.87
  5. Step 5: Solve for x
    x = 18,658,557,843.87/157,478.12
  6. Step 6: Final answer
    x = 118,483.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.