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Finding the Fourth Proportional to 99,817.50, 137,748.36 and 54,495.50

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Solution

The fourth proportional to 99,817.50, 137,748.36 and 54,495.50 is: 75,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,817.50 : 137,748.36 = 54,495.50 : x
  2. Step 2: Convert to fraction form
    99,817.50/137,748.36 = 54,495.50/x
  3. Step 3: Cross multiply
    99,817.50x = 137,748.36 × 54,495.50
  4. Step 4: Simplify right side
    99,817.50x = 7,506,665,752.38
  5. Step 5: Solve for x
    x = 7,506,665,752.38/99,817.50
  6. Step 6: Final answer
    x = 75,203.90

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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.