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Finding the Fourth Proportional to 157,042.70, 216,722.49 and 85,426.55

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Solution

The fourth proportional to 157,042.70, 216,722.49 and 85,426.55 is: 117,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,042.70 : 216,722.49 = 85,426.55 : x
  2. Step 2: Convert to fraction form
    157,042.70/216,722.49 = 85,426.55/x
  3. Step 3: Cross multiply
    157,042.70x = 216,722.49 × 85,426.55
  4. Step 4: Simplify right side
    157,042.70x = 18,513,854,628.11
  5. Step 5: Solve for x
    x = 18,513,854,628.11/157,042.70
  6. Step 6: Final answer
    x = 117,890.58

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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.