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Finding the Fourth Proportional to 154,390.30, 231,607.05 and 65,643.10

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Solution

The fourth proportional to 154,390.30, 231,607.05 and 65,643.10 is: 98,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,390.30 : 231,607.05 = 65,643.10 : x
  2. Step 2: Convert to fraction form
    154,390.30/231,607.05 = 65,643.10/x
  3. Step 3: Cross multiply
    154,390.30x = 231,607.05 × 65,643.10
  4. Step 4: Simplify right side
    154,390.30x = 15,203,404,743.86
  5. Step 5: Solve for x
    x = 15,203,404,743.86/154,390.30
  6. Step 6: Final answer
    x = 98,473.83

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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.