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Finding the Fourth Proportional to 157,478.33, 217,321.35 and 85,858.86

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Solution

The fourth proportional to 157,478.33, 217,321.35 and 85,858.86 is: 118,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,478.33 : 217,321.35 = 85,858.86 : x
  2. Step 2: Convert to fraction form
    157,478.33/217,321.35 = 85,858.86/x
  3. Step 3: Cross multiply
    157,478.33x = 217,321.35 × 85,858.86
  4. Step 4: Simplify right side
    157,478.33x = 18,658,963,364.66
  5. Step 5: Solve for x
    x = 18,658,963,364.66/157,478.33
  6. Step 6: Final answer
    x = 118,485.91

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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.