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Finding the Fourth Proportional to 92,619.64, 138,984 and 64,178.92

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Solution

The fourth proportional to 92,619.64, 138,984 and 64,178.92 is: 96,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,619.64 : 138,984 = 64,178.92 : x
  2. Step 2: Convert to fraction form
    92,619.64/138,984 = 64,178.92/x
  3. Step 3: Cross multiply
    92,619.64x = 138,984 × 64,178.92
  4. Step 4: Simplify right side
    92,619.64x = 8,919,843,017.28
  5. Step 5: Solve for x
    x = 8,919,843,017.28/92,619.64
  6. Step 6: Final answer
    x = 96,306.17

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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.