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Finding the Fourth Proportional to 154,395.36, 231,703.74 and 65,711.16

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Solution

The fourth proportional to 154,395.36, 231,703.74 and 65,711.16 is: 98,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,395.36 : 231,703.74 = 65,711.16 : x
  2. Step 2: Convert to fraction form
    154,395.36/231,703.74 = 65,711.16/x
  3. Step 3: Cross multiply
    154,395.36x = 231,703.74 × 65,711.16
  4. Step 4: Simplify right side
    154,395.36x = 15,225,521,531.74
  5. Step 5: Solve for x
    x = 15,225,521,531.74/154,395.36
  6. Step 6: Final answer
    x = 98,613.85

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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.