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Finding the Fourth Proportional to 145,374, 218,061 and 38,758.32

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Solution

The fourth proportional to 145,374, 218,061 and 38,758.32 is: 58,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,374 : 218,061 = 38,758.32 : x
  2. Step 2: Convert to fraction form
    145,374/218,061 = 38,758.32/x
  3. Step 3: Cross multiply
    145,374x = 218,061 × 38,758.32
  4. Step 4: Simplify right side
    145,374x = 8,451,678,017.52
  5. Step 5: Solve for x
    x = 8,451,678,017.52/145,374
  6. Step 6: Final answer
    x = 58,137.48

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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.