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Finding the Fourth Proportional to 78,004.60, 116,900.86 and 32,988.53

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Solution

The fourth proportional to 78,004.60, 116,900.86 and 32,988.53 is: 49,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.60 : 116,900.86 = 32,988.53 : x
  2. Step 2: Convert to fraction form
    78,004.60/116,900.86 = 32,988.53/x
  3. Step 3: Cross multiply
    78,004.60x = 116,900.86 × 32,988.53
  4. Step 4: Simplify right side
    78,004.60x = 3,856,387,527.14
  5. Step 5: Solve for x
    x = 3,856,387,527.14/78,004.60
  6. Step 6: Final answer
    x = 49,437.95

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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.