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Finding the Fourth Proportional to 154,203.70, 231,391.95 and 65,442.10

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Solution

The fourth proportional to 154,203.70, 231,391.95 and 65,442.10 is: 98,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,203.70 : 231,391.95 = 65,442.10 : x
  2. Step 2: Convert to fraction form
    154,203.70/231,391.95 = 65,442.10/x
  3. Step 3: Cross multiply
    154,203.70x = 231,391.95 × 65,442.10
  4. Step 4: Simplify right side
    154,203.70x = 15,142,775,131.10
  5. Step 5: Solve for x
    x = 15,142,775,131.10/154,203.70
  6. Step 6: Final answer
    x = 98,199.82

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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.