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Finding the Fourth Proportional to 100,897.74, 139,248.70 and 75,359.76

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Solution

The fourth proportional to 100,897.74, 139,248.70 and 75,359.76 is: 104,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,897.74 : 139,248.70 = 75,359.76 : x
  2. Step 2: Convert to fraction form
    100,897.74/139,248.70 = 75,359.76/x
  3. Step 3: Cross multiply
    100,897.74x = 139,248.70 × 75,359.76
  4. Step 4: Simplify right side
    100,897.74x = 10,493,748,612.31
  5. Step 5: Solve for x
    x = 10,493,748,612.31/100,897.74
  6. Step 6: Final answer
    x = 104,003.80

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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.