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Finding the Fourth Proportional to 342,219.98, 513,158.64 and 105,531.90

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Solution

The fourth proportional to 342,219.98, 513,158.64 and 105,531.90 is: 158,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,219.98 : 513,158.64 = 105,531.90 : x
  2. Step 2: Convert to fraction form
    342,219.98/513,158.64 = 105,531.90/x
  3. Step 3: Cross multiply
    342,219.98x = 513,158.64 × 105,531.90
  4. Step 4: Simplify right side
    342,219.98x = 54,154,606,280.62
  5. Step 5: Solve for x
    x = 54,154,606,280.62/342,219.98
  6. Step 6: Final answer
    x = 158,245.02

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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.