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Finding the Fourth Proportional to 99,903.40, 149,874.54 and 29,781.16

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Solution

The fourth proportional to 99,903.40, 149,874.54 and 29,781.16 is: 44,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,903.40 : 149,874.54 = 29,781.16 : x
  2. Step 2: Convert to fraction form
    99,903.40/149,874.54 = 29,781.16/x
  3. Step 3: Cross multiply
    99,903.40x = 149,874.54 × 29,781.16
  4. Step 4: Simplify right side
    99,903.40x = 4,463,437,655.67
  5. Step 5: Solve for x
    x = 4,463,437,655.67/99,903.40
  6. Step 6: Final answer
    x = 44,677.54

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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.