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Finding the Fourth Proportional to 99,880.80, 149,842.40 and 37,551.84

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Solution

The fourth proportional to 99,880.80, 149,842.40 and 37,551.84 is: 56,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,880.80 : 149,842.40 = 37,551.84 : x
  2. Step 2: Convert to fraction form
    99,880.80/149,842.40 = 37,551.84/x
  3. Step 3: Cross multiply
    99,880.80x = 149,842.40 × 37,551.84
  4. Step 4: Simplify right side
    99,880.80x = 5,626,857,830.02
  5. Step 5: Solve for x
    x = 5,626,857,830.02/99,880.80
  6. Step 6: Final answer
    x = 56,335.73

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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.