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Finding the Fourth Proportional to 100,689.63, 138,952.20 and 55,370.55

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Solution

The fourth proportional to 100,689.63, 138,952.20 and 55,370.55 is: 76,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689.63 : 138,952.20 = 55,370.55 : x
  2. Step 2: Convert to fraction form
    100,689.63/138,952.20 = 55,370.55/x
  3. Step 3: Cross multiply
    100,689.63x = 138,952.20 × 55,370.55
  4. Step 4: Simplify right side
    100,689.63x = 7,693,859,737.71
  5. Step 5: Solve for x
    x = 7,693,859,737.71/100,689.63
  6. Step 6: Final answer
    x = 76,411.64

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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.