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Finding the Fourth Proportional to 78,005.70, 117,008.55 and 74,943.90

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Solution

The fourth proportional to 78,005.70, 117,008.55 and 74,943.90 is: 112,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.70 : 117,008.55 = 74,943.90 : x
  2. Step 2: Convert to fraction form
    78,005.70/117,008.55 = 74,943.90/x
  3. Step 3: Cross multiply
    78,005.70x = 117,008.55 × 74,943.90
  4. Step 4: Simplify right side
    78,005.70x = 8,769,077,070.35
  5. Step 5: Solve for x
    x = 8,769,077,070.35/78,005.70
  6. Step 6: Final answer
    x = 112,415.85

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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.