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Finding the Fourth Proportional to 78,833.40, 118,250.10 and 77,278.20

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Solution

The fourth proportional to 78,833.40, 118,250.10 and 77,278.20 is: 115,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833.40 : 118,250.10 = 77,278.20 : x
  2. Step 2: Convert to fraction form
    78,833.40/118,250.10 = 77,278.20/x
  3. Step 3: Cross multiply
    78,833.40x = 118,250.10 × 77,278.20
  4. Step 4: Simplify right side
    78,833.40x = 9,138,154,877.82
  5. Step 5: Solve for x
    x = 9,138,154,877.82/78,833.40
  6. Step 6: Final answer
    x = 115,917.30

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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.