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Finding the Fourth Proportional to 272,420.64, 408,748.48 and 103,991.52

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Solution

The fourth proportional to 272,420.64, 408,748.48 and 103,991.52 is: 156,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,420.64 : 408,748.48 = 103,991.52 : x
  2. Step 2: Convert to fraction form
    272,420.64/408,748.48 = 103,991.52/x
  3. Step 3: Cross multiply
    272,420.64x = 408,748.48 × 103,991.52
  4. Step 4: Simplify right side
    272,420.64x = 42,506,375,732.89
  5. Step 5: Solve for x
    x = 42,506,375,732.89/272,420.64
  6. Step 6: Final answer
    x = 156,032.14

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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.