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Finding the Fourth Proportional to 83,031.36, 124,572 and 38,684.48

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Solution

The fourth proportional to 83,031.36, 124,572 and 38,684.48 is: 58,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031.36 : 124,572 = 38,684.48 : x
  2. Step 2: Convert to fraction form
    83,031.36/124,572 = 38,684.48/x
  3. Step 3: Cross multiply
    83,031.36x = 124,572 × 38,684.48
  4. Step 4: Simplify right side
    83,031.36x = 4,819,003,042.56
  5. Step 5: Solve for x
    x = 4,819,003,042.56/83,031.36
  6. Step 6: Final answer
    x = 58,038.35

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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.