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Finding the Fourth Proportional to 119,782, 165,363.96 and 72,046

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Solution

The fourth proportional to 119,782, 165,363.96 and 72,046 is: 99,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,782 : 165,363.96 = 72,046 : x
  2. Step 2: Convert to fraction form
    119,782/165,363.96 = 72,046/x
  3. Step 3: Cross multiply
    119,782x = 165,363.96 × 72,046
  4. Step 4: Simplify right side
    119,782x = 11,913,811,862.16
  5. Step 5: Solve for x
    x = 11,913,811,862.16/119,782
  6. Step 6: Final answer
    x = 99,462.46

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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.