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Finding the Fourth Proportional to 157,242.29, 216,996.95 and 85,623.71

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Solution

The fourth proportional to 157,242.29, 216,996.95 and 85,623.71 is: 118,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,242.29 : 216,996.95 = 85,623.71 : x
  2. Step 2: Convert to fraction form
    157,242.29/216,996.95 = 85,623.71/x
  3. Step 3: Cross multiply
    157,242.29x = 216,996.95 × 85,623.71
  4. Step 4: Simplify right side
    157,242.29x = 18,580,083,917.68
  5. Step 5: Solve for x
    x = 18,580,083,917.68/157,242.29
  6. Step 6: Final answer
    x = 118,162.13

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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.