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Finding the Fourth Proportional to 157,116.74, 216,817.56 and 85,496.94

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Solution

The fourth proportional to 157,116.74, 216,817.56 and 85,496.94 is: 117,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,116.74 : 216,817.56 = 85,496.94 : x
  2. Step 2: Convert to fraction form
    157,116.74/216,817.56 = 85,496.94/x
  3. Step 3: Cross multiply
    157,116.74x = 216,817.56 × 85,496.94
  4. Step 4: Simplify right side
    157,116.74x = 18,537,237,918.27
  5. Step 5: Solve for x
    x = 18,537,237,918.27/157,116.74
  6. Step 6: Final answer
    x = 117,983.85

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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.