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Finding the Fourth Proportional to 205,062.76, 307,689.18 and 86,761.72

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Solution

The fourth proportional to 205,062.76, 307,689.18 and 86,761.72 is: 130,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,062.76 : 307,689.18 = 86,761.72 : x
  2. Step 2: Convert to fraction form
    205,062.76/307,689.18 = 86,761.72/x
  3. Step 3: Cross multiply
    205,062.76x = 307,689.18 × 86,761.72
  4. Step 4: Simplify right side
    205,062.76x = 26,695,642,482.19
  5. Step 5: Solve for x
    x = 26,695,642,482.19/205,062.76
  6. Step 6: Final answer
    x = 130,182.79

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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.