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Finding the Fourth Proportional to 99,310.32, 148,964.88 and 43,143.12

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Solution

The fourth proportional to 99,310.32, 148,964.88 and 43,143.12 is: 64,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,310.32 : 148,964.88 = 43,143.12 : x
  2. Step 2: Convert to fraction form
    99,310.32/148,964.88 = 43,143.12/x
  3. Step 3: Cross multiply
    99,310.32x = 148,964.88 × 43,143.12
  4. Step 4: Simplify right side
    99,310.32x = 6,426,809,693.63
  5. Step 5: Solve for x
    x = 6,426,809,693.63/99,310.32
  6. Step 6: Final answer
    x = 64,714.42

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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.