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Finding the Fourth Proportional to 76,620.32, 114,830.90 and 42,884.96

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Solution

The fourth proportional to 76,620.32, 114,830.90 and 42,884.96 is: 64,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,620.32 : 114,830.90 = 42,884.96 : x
  2. Step 2: Convert to fraction form
    76,620.32/114,830.90 = 42,884.96/x
  3. Step 3: Cross multiply
    76,620.32x = 114,830.90 × 42,884.96
  4. Step 4: Simplify right side
    76,620.32x = 4,924,518,553.26
  5. Step 5: Solve for x
    x = 4,924,518,553.26/76,620.32
  6. Step 6: Final answer
    x = 64,271.70

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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.