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Finding the Fourth Proportional to 145,493.16, 218,248.97 and 45,657.30

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Solution

The fourth proportional to 145,493.16, 218,248.97 and 45,657.30 is: 68,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493.16 : 218,248.97 = 45,657.30 : x
  2. Step 2: Convert to fraction form
    145,493.16/218,248.97 = 45,657.30/x
  3. Step 3: Cross multiply
    145,493.16x = 218,248.97 × 45,657.30
  4. Step 4: Simplify right side
    145,493.16x = 9,964,658,697.98
  5. Step 5: Solve for x
    x = 9,964,658,697.98/145,493.16
  6. Step 6: Final answer
    x = 68,488.85

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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.