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Finding the Fourth Proportional to 152,071.76, 209,854.92 and 85,016.72

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Solution

The fourth proportional to 152,071.76, 209,854.92 and 85,016.72 is: 117,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,071.76 : 209,854.92 = 85,016.72 : x
  2. Step 2: Convert to fraction form
    152,071.76/209,854.92 = 85,016.72/x
  3. Step 3: Cross multiply
    152,071.76x = 209,854.92 × 85,016.72
  4. Step 4: Simplify right side
    152,071.76x = 17,841,176,974.26
  5. Step 5: Solve for x
    x = 17,841,176,974.26/152,071.76
  6. Step 6: Final answer
    x = 117,320.78

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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.