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Finding the Fourth Proportional to 103,219.90, 142,278.84 and 77,687.88

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Solution

The fourth proportional to 103,219.90, 142,278.84 and 77,687.88 is: 107,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,219.90 : 142,278.84 = 77,687.88 : x
  2. Step 2: Convert to fraction form
    103,219.90/142,278.84 = 77,687.88/x
  3. Step 3: Cross multiply
    103,219.90x = 142,278.84 × 77,687.88
  4. Step 4: Simplify right side
    103,219.90x = 11,053,341,448.46
  5. Step 5: Solve for x
    x = 11,053,341,448.46/103,219.90
  6. Step 6: Final answer
    x = 107,085.37

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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.