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Finding the Fourth Proportional to 157,415.30, 217,237.86 and 85,799.96

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Solution

The fourth proportional to 157,415.30, 217,237.86 and 85,799.96 is: 118,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,415.30 : 217,237.86 = 85,799.96 : x
  2. Step 2: Convert to fraction form
    157,415.30/217,237.86 = 85,799.96/x
  3. Step 3: Cross multiply
    157,415.30x = 217,237.86 × 85,799.96
  4. Step 4: Simplify right side
    157,415.30x = 18,638,999,269.49
  5. Step 5: Solve for x
    x = 18,638,999,269.49/157,415.30
  6. Step 6: Final answer
    x = 118,406.53

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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.