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Finding the Fourth Proportional to 99,471.34, 137,235.78 and 56,445.76

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Solution

The fourth proportional to 99,471.34, 137,235.78 and 56,445.76 is: 77,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,471.34 : 137,235.78 = 56,445.76 : x
  2. Step 2: Convert to fraction form
    99,471.34/137,235.78 = 56,445.76/x
  3. Step 3: Cross multiply
    99,471.34x = 137,235.78 × 56,445.76
  4. Step 4: Simplify right side
    99,471.34x = 7,746,377,901.29
  5. Step 5: Solve for x
    x = 7,746,377,901.29/99,471.34
  6. Step 6: Final answer
    x = 77,875.48

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1.5x scale

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.