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Finding the Fourth Proportional to 154,378.80, 231,395.40 and 65,617.20

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Solution

The fourth proportional to 154,378.80, 231,395.40 and 65,617.20 is: 98,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,378.80 : 231,395.40 = 65,617.20 : x
  2. Step 2: Convert to fraction form
    154,378.80/231,395.40 = 65,617.20/x
  3. Step 3: Cross multiply
    154,378.80x = 231,395.40 × 65,617.20
  4. Step 4: Simplify right side
    154,378.80x = 15,183,518,240.88
  5. Step 5: Solve for x
    x = 15,183,518,240.88/154,378.80
  6. Step 6: Final answer
    x = 98,352.35

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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.