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Finding the Fourth Proportional to 102,874.96, 141,926.88 and 64,612

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Solution

The fourth proportional to 102,874.96, 141,926.88 and 64,612 is: 89,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,874.96 : 141,926.88 = 64,612 : x
  2. Step 2: Convert to fraction form
    102,874.96/141,926.88 = 64,612/x
  3. Step 3: Cross multiply
    102,874.96x = 141,926.88 × 64,612
  4. Step 4: Simplify right side
    102,874.96x = 9,170,179,570.56
  5. Step 5: Solve for x
    x = 9,170,179,570.56/102,874.96
  6. Step 6: Final answer
    x = 89,139.08

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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.