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Finding the Fourth Proportional to 78,149.90, 107,892.87 and 51,339.17

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Solution

The fourth proportional to 78,149.90, 107,892.87 and 51,339.17 is: 70,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149.90 : 107,892.87 = 51,339.17 : x
  2. Step 2: Convert to fraction form
    78,149.90/107,892.87 = 51,339.17/x
  3. Step 3: Cross multiply
    78,149.90x = 107,892.87 × 51,339.17
  4. Step 4: Simplify right side
    78,149.90x = 5,539,130,394.72
  5. Step 5: Solve for x
    x = 5,539,130,394.72/78,149.90
  6. Step 6: Final answer
    x = 70,878.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.