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Finding the Fourth Proportional to 77,897.60, 107,512.68 and 74,347.82

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Solution

The fourth proportional to 77,897.60, 107,512.68 and 74,347.82 is: 102,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,897.60 : 107,512.68 = 74,347.82 : x
  2. Step 2: Convert to fraction form
    77,897.60/107,512.68 = 74,347.82/x
  3. Step 3: Cross multiply
    77,897.60x = 107,512.68 × 74,347.82
  4. Step 4: Simplify right side
    77,897.60x = 7,993,333,380.36
  5. Step 5: Solve for x
    x = 7,993,333,380.36/77,897.60
  6. Step 6: Final answer
    x = 102,613.35

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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.