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Finding the Fourth Proportional to 99,320.12, 148,978.92 and 24,441.20

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Solution

The fourth proportional to 99,320.12, 148,978.92 and 24,441.20 is: 36,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,320.12 : 148,978.92 = 24,441.20 : x
  2. Step 2: Convert to fraction form
    99,320.12/148,978.92 = 24,441.20/x
  3. Step 3: Cross multiply
    99,320.12x = 148,978.92 × 24,441.20
  4. Step 4: Simplify right side
    99,320.12x = 3,641,223,579.50
  5. Step 5: Solve for x
    x = 3,641,223,579.50/99,320.12
  6. Step 6: Final answer
    x = 36,661.49

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1.5x scale

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.