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Finding the Fourth Proportional to 176,405.88, 243,444.78 and 100,978.68

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Solution

The fourth proportional to 176,405.88, 243,444.78 and 100,978.68 is: 139,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,405.88 : 243,444.78 = 100,978.68 : x
  2. Step 2: Convert to fraction form
    176,405.88/243,444.78 = 100,978.68/x
  3. Step 3: Cross multiply
    176,405.88x = 243,444.78 × 100,978.68
  4. Step 4: Simplify right side
    176,405.88x = 24,582,732,537.29
  5. Step 5: Solve for x
    x = 24,582,732,537.29/176,405.88
  6. Step 6: Final answer
    x = 139,353.25

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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.