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Finding the Fourth Proportional to 157,115.80, 216,821.82 and 85,497.76

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Solution

The fourth proportional to 157,115.80, 216,821.82 and 85,497.76 is: 117,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,115.80 : 216,821.82 = 85,497.76 : x
  2. Step 2: Convert to fraction form
    157,115.80/216,821.82 = 85,497.76/x
  3. Step 3: Cross multiply
    157,115.80x = 216,821.82 × 85,497.76
  4. Step 4: Simplify right side
    157,115.80x = 18,537,779,929.12
  5. Step 5: Solve for x
    x = 18,537,779,929.12/157,115.80
  6. Step 6: Final answer
    x = 117,988.01

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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.