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Finding the Fourth Proportional to 342,000.62, 513,056.05 and 105,343.19

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Solution

The fourth proportional to 342,000.62, 513,056.05 and 105,343.19 is: 158,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000.62 : 513,056.05 = 105,343.19 : x
  2. Step 2: Convert to fraction form
    342,000.62/513,056.05 = 105,343.19/x
  3. Step 3: Cross multiply
    342,000.62x = 513,056.05 × 105,343.19
  4. Step 4: Simplify right side
    342,000.62x = 54,046,958,127.16
  5. Step 5: Solve for x
    x = 54,046,958,127.16/342,000.62
  6. Step 6: Final answer
    x = 158,031.76

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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.