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Finding the Fourth Proportional to 99,871.78, 149,829.27 and 29,756.74

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Solution

The fourth proportional to 99,871.78, 149,829.27 and 29,756.74 is: 44,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,871.78 : 149,829.27 = 29,756.74 : x
  2. Step 2: Convert to fraction form
    99,871.78/149,829.27 = 29,756.74/x
  3. Step 3: Cross multiply
    99,871.78x = 149,829.27 × 29,756.74
  4. Step 4: Simplify right side
    99,871.78x = 4,458,430,631.78
  5. Step 5: Solve for x
    x = 4,458,430,631.78/99,871.78
  6. Step 6: Final answer
    x = 44,641.55

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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.