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Finding the Fourth Proportional to 115,071.76, 172,631.13 and 48,511.90

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Solution

The fourth proportional to 115,071.76, 172,631.13 and 48,511.90 is: 72,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,071.76 : 172,631.13 = 48,511.90 : x
  2. Step 2: Convert to fraction form
    115,071.76/172,631.13 = 48,511.90/x
  3. Step 3: Cross multiply
    115,071.76x = 172,631.13 × 48,511.90
  4. Step 4: Simplify right side
    115,071.76x = 8,374,664,115.45
  5. Step 5: Solve for x
    x = 8,374,664,115.45/115,071.76
  6. Step 6: Final answer
    x = 72,777.75

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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.