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Finding the Fourth Proportional to 99,765.20, 149,647.80 and 47,277.20

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Solution

The fourth proportional to 99,765.20, 149,647.80 and 47,277.20 is: 70,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765.20 : 149,647.80 = 47,277.20 : x
  2. Step 2: Convert to fraction form
    99,765.20/149,647.80 = 47,277.20/x
  3. Step 3: Cross multiply
    99,765.20x = 149,647.80 × 47,277.20
  4. Step 4: Simplify right side
    99,765.20x = 7,074,928,970.16
  5. Step 5: Solve for x
    x = 7,074,928,970.16/99,765.20
  6. Step 6: Final answer
    x = 70,915.80

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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.