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Finding the Fourth Proportional to 97,282, 145,734.18 and 63,900.78

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Solution

The fourth proportional to 97,282, 145,734.18 and 63,900.78 is: 95,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,282 : 145,734.18 = 63,900.78 : x
  2. Step 2: Convert to fraction form
    97,282/145,734.18 = 63,900.78/x
  3. Step 3: Cross multiply
    97,282x = 145,734.18 × 63,900.78
  4. Step 4: Simplify right side
    97,282x = 9,312,527,774.66
  5. Step 5: Solve for x
    x = 9,312,527,774.66/97,282
  6. Step 6: Final answer
    x = 95,727.14

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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.