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Finding the Fourth Proportional to 99,577.80, 148,934.70 and 89,123.40

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Solution

The fourth proportional to 99,577.80, 148,934.70 and 89,123.40 is: 133,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,577.80 : 148,934.70 = 89,123.40 : x
  2. Step 2: Convert to fraction form
    99,577.80/148,934.70 = 89,123.40/x
  3. Step 3: Cross multiply
    99,577.80x = 148,934.70 × 89,123.40
  4. Step 4: Simplify right side
    99,577.80x = 13,273,566,841.98
  5. Step 5: Solve for x
    x = 13,273,566,841.98/99,577.80
  6. Step 6: Final answer
    x = 133,298.45

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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.