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Finding the Fourth Proportional to 99,877.68, 149,687.28 and 40,644

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Solution

The fourth proportional to 99,877.68, 149,687.28 and 40,644 is: 60,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,877.68 : 149,687.28 = 40,644 : x
  2. Step 2: Convert to fraction form
    99,877.68/149,687.28 = 40,644/x
  3. Step 3: Cross multiply
    99,877.68x = 149,687.28 × 40,644
  4. Step 4: Simplify right side
    99,877.68x = 6,083,889,808.32
  5. Step 5: Solve for x
    x = 6,083,889,808.32/99,877.68
  6. Step 6: Final answer
    x = 60,913.41

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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.