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Finding the Fourth Proportional to 102,471.30, 153,822.15 and 79,200.90

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Solution

The fourth proportional to 102,471.30, 153,822.15 and 79,200.90 is: 118,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,471.30 : 153,822.15 = 79,200.90 : x
  2. Step 2: Convert to fraction form
    102,471.30/153,822.15 = 79,200.90/x
  3. Step 3: Cross multiply
    102,471.30x = 153,822.15 × 79,200.90
  4. Step 4: Simplify right side
    102,471.30x = 12,182,852,719.94
  5. Step 5: Solve for x
    x = 12,182,852,719.94/102,471.30
  6. Step 6: Final answer
    x = 118,890.39

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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.