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Finding the Fourth Proportional to 99,477.84, 137,281.17 and 54,157.12

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Solution

The fourth proportional to 99,477.84, 137,281.17 and 54,157.12 is: 74,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,477.84 : 137,281.17 = 54,157.12 : x
  2. Step 2: Convert to fraction form
    99,477.84/137,281.17 = 54,157.12/x
  3. Step 3: Cross multiply
    99,477.84x = 137,281.17 × 54,157.12
  4. Step 4: Simplify right side
    99,477.84x = 7,434,752,797.43
  5. Step 5: Solve for x
    x = 7,434,752,797.43/99,477.84
  6. Step 6: Final answer
    x = 74,737.78

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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.