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Finding the Fourth Proportional to 178,487.76, 267,801.74 and 78,577.86

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Solution

The fourth proportional to 178,487.76, 267,801.74 and 78,577.86 is: 117,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,487.76 : 267,801.74 = 78,577.86 : x
  2. Step 2: Convert to fraction form
    178,487.76/267,801.74 = 78,577.86/x
  3. Step 3: Cross multiply
    178,487.76x = 267,801.74 × 78,577.86
  4. Step 4: Simplify right side
    178,487.76x = 21,043,288,539.51
  5. Step 5: Solve for x
    x = 21,043,288,539.51/178,487.76
  6. Step 6: Final answer
    x = 117,897.65

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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.