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Finding the Fourth Proportional to 78,462.60, 117,656.82 and 28,507.86

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Solution

The fourth proportional to 78,462.60, 117,656.82 and 28,507.86 is: 42,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,462.60 : 117,656.82 = 28,507.86 : x
  2. Step 2: Convert to fraction form
    78,462.60/117,656.82 = 28,507.86/x
  3. Step 3: Cross multiply
    78,462.60x = 117,656.82 × 28,507.86
  4. Step 4: Simplify right side
    78,462.60x = 3,354,144,152.61
  5. Step 5: Solve for x
    x = 3,354,144,152.61/78,462.60
  6. Step 6: Final answer
    x = 42,748.32

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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.