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Finding the Fourth Proportional to 261,978.76, 392,639.28 and 112,042.68

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Solution

The fourth proportional to 261,978.76, 392,639.28 and 112,042.68 is: 167,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,978.76 : 392,639.28 = 112,042.68 : x
  2. Step 2: Convert to fraction form
    261,978.76/392,639.28 = 112,042.68/x
  3. Step 3: Cross multiply
    261,978.76x = 392,639.28 × 112,042.68
  4. Step 4: Simplify right side
    261,978.76x = 43,992,357,204.47
  5. Step 5: Solve for x
    x = 43,992,357,204.47/261,978.76
  6. Step 6: Final answer
    x = 167,923.37

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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.