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Finding the Fourth Proportional to 99,985.74, 149,978.76 and 40,041.22

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Solution

The fourth proportional to 99,985.74, 149,978.76 and 40,041.22 is: 60,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,985.74 : 149,978.76 = 40,041.22 : x
  2. Step 2: Convert to fraction form
    99,985.74/149,978.76 = 40,041.22/x
  3. Step 3: Cross multiply
    99,985.74x = 149,978.76 × 40,041.22
  4. Step 4: Simplify right side
    99,985.74x = 6,005,332,524.49
  5. Step 5: Solve for x
    x = 6,005,332,524.49/99,985.74
  6. Step 6: Final answer
    x = 60,061.89

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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.