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Finding the Fourth Proportional to 157,898.16, 217,899.52 and 85,301.08

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Solution

The fourth proportional to 157,898.16, 217,899.52 and 85,301.08 is: 117,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,898.16 : 217,899.52 = 85,301.08 : x
  2. Step 2: Convert to fraction form
    157,898.16/217,899.52 = 85,301.08/x
  3. Step 3: Cross multiply
    157,898.16x = 217,899.52 × 85,301.08
  4. Step 4: Simplify right side
    157,898.16x = 18,587,063,629.48
  5. Step 5: Solve for x
    x = 18,587,063,629.48/157,898.16
  6. Step 6: Final answer
    x = 117,715.52

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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.