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Finding the Fourth Proportional to 154,381.70, 231,572.55 and 65,638.10

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Solution

The fourth proportional to 154,381.70, 231,572.55 and 65,638.10 is: 98,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,381.70 : 231,572.55 = 65,638.10 : x
  2. Step 2: Convert to fraction form
    154,381.70/231,572.55 = 65,638.10/x
  3. Step 3: Cross multiply
    154,381.70x = 231,572.55 × 65,638.10
  4. Step 4: Simplify right side
    154,381.70x = 15,199,982,194.16
  5. Step 5: Solve for x
    x = 15,199,982,194.16/154,381.70
  6. Step 6: Final answer
    x = 98,457.15

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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.