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Finding the Fourth Proportional to 76,530.64, 114,743.04 and 39,017.92

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Solution

The fourth proportional to 76,530.64, 114,743.04 and 39,017.92 is: 58,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,530.64 : 114,743.04 = 39,017.92 : x
  2. Step 2: Convert to fraction form
    76,530.64/114,743.04 = 39,017.92/x
  3. Step 3: Cross multiply
    76,530.64x = 114,743.04 × 39,017.92
  4. Step 4: Simplify right side
    76,530.64x = 4,477,034,755.28
  5. Step 5: Solve for x
    x = 4,477,034,755.28/76,530.64
  6. Step 6: Final answer
    x = 58,499.90

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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.