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Finding the Fourth Proportional to 102,438, 153,682.92 and 28,566

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Solution

The fourth proportional to 102,438, 153,682.92 and 28,566 is: 42,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,438 : 153,682.92 = 28,566 : x
  2. Step 2: Convert to fraction form
    102,438/153,682.92 = 28,566/x
  3. Step 3: Cross multiply
    102,438x = 153,682.92 × 28,566
  4. Step 4: Simplify right side
    102,438x = 4,390,106,292.72
  5. Step 5: Solve for x
    x = 4,390,106,292.72/102,438
  6. Step 6: Final answer
    x = 42,856.23

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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.