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Finding the Fourth Proportional to 99,765.83, 137,677.65 and 54,444.17

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Solution

The fourth proportional to 99,765.83, 137,677.65 and 54,444.17 is: 75,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765.83 : 137,677.65 = 54,444.17 : x
  2. Step 2: Convert to fraction form
    99,765.83/137,677.65 = 54,444.17/x
  3. Step 3: Cross multiply
    99,765.83x = 137,677.65 × 54,444.17
  4. Step 4: Simplify right side
    99,765.83x = 7,495,745,381.80
  5. Step 5: Solve for x
    x = 7,495,745,381.80/99,765.83
  6. Step 6: Final answer
    x = 75,133.39

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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.