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Finding the Fourth Proportional to 55,830.87, 77,042.61 and 31,957.20

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Solution

The fourth proportional to 55,830.87, 77,042.61 and 31,957.20 is: 44,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,830.87 : 77,042.61 = 31,957.20 : x
  2. Step 2: Convert to fraction form
    55,830.87/77,042.61 = 31,957.20/x
  3. Step 3: Cross multiply
    55,830.87x = 77,042.61 × 31,957.20
  4. Step 4: Simplify right side
    55,830.87x = 2,462,066,096.29
  5. Step 5: Solve for x
    x = 2,462,066,096.29/55,830.87
  6. Step 6: Final answer
    x = 44,098.65

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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.