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Finding the Fourth Proportional to 157,152.09, 216,862.74 and 85,531.89

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Solution

The fourth proportional to 157,152.09, 216,862.74 and 85,531.89 is: 118,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,152.09 : 216,862.74 = 85,531.89 : x
  2. Step 2: Convert to fraction form
    157,152.09/216,862.74 = 85,531.89/x
  3. Step 3: Cross multiply
    157,152.09x = 216,862.74 × 85,531.89
  4. Step 4: Simplify right side
    157,152.09x = 18,548,680,022.78
  5. Step 5: Solve for x
    x = 18,548,680,022.78/157,152.09
  6. Step 6: Final answer
    x = 118,030.12

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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.