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Finding the Fourth Proportional to 100,748.92, 139,029.10 and 55,424.02

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Solution

The fourth proportional to 100,748.92, 139,029.10 and 55,424.02 is: 76,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,748.92 : 139,029.10 = 55,424.02 : x
  2. Step 2: Convert to fraction form
    100,748.92/139,029.10 = 55,424.02/x
  3. Step 3: Cross multiply
    100,748.92x = 139,029.10 × 55,424.02
  4. Step 4: Simplify right side
    100,748.92x = 7,705,551,618.98
  5. Step 5: Solve for x
    x = 7,705,551,618.98/100,748.92
  6. Step 6: Final answer
    x = 76,482.72

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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.