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Finding the Fourth Proportional to 78,126.82, 107,809.42 and 45,862.76

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Solution

The fourth proportional to 78,126.82, 107,809.42 and 45,862.76 is: 63,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126.82 : 107,809.42 = 45,862.76 : x
  2. Step 2: Convert to fraction form
    78,126.82/107,809.42 = 45,862.76/x
  3. Step 3: Cross multiply
    78,126.82x = 107,809.42 × 45,862.76
  4. Step 4: Simplify right side
    78,126.82x = 4,944,437,125.14
  5. Step 5: Solve for x
    x = 4,944,437,125.14/78,126.82
  6. Step 6: Final answer
    x = 63,287.32

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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.