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Finding the Fourth Proportional to 100,985.76, 151,478.64 and 63,972

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Solution

The fourth proportional to 100,985.76, 151,478.64 and 63,972 is: 95,958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,985.76 : 151,478.64 = 63,972 : x
  2. Step 2: Convert to fraction form
    100,985.76/151,478.64 = 63,972/x
  3. Step 3: Cross multiply
    100,985.76x = 151,478.64 × 63,972
  4. Step 4: Simplify right side
    100,985.76x = 9,690,391,558.08
  5. Step 5: Solve for x
    x = 9,690,391,558.08/100,985.76
  6. Step 6: Final answer
    x = 95,958.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.