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Finding the Fourth Proportional to 102,562.70, 153,844.05 and 74,569.10

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Solution

The fourth proportional to 102,562.70, 153,844.05 and 74,569.10 is: 111,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.70 : 153,844.05 = 74,569.10 : x
  2. Step 2: Convert to fraction form
    102,562.70/153,844.05 = 74,569.10/x
  3. Step 3: Cross multiply
    102,562.70x = 153,844.05 × 74,569.10
  4. Step 4: Simplify right side
    102,562.70x = 11,472,012,348.86
  5. Step 5: Solve for x
    x = 11,472,012,348.86/102,562.70
  6. Step 6: Final answer
    x = 111,853.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.