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Finding the Fourth Proportional to 342,394.29, 513,655.98 and 105,681.61

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Solution

The fourth proportional to 342,394.29, 513,655.98 and 105,681.61 is: 158,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,394.29 : 513,655.98 = 105,681.61 : x
  2. Step 2: Convert to fraction form
    342,394.29/513,655.98 = 105,681.61/x
  3. Step 3: Cross multiply
    342,394.29x = 513,655.98 × 105,681.61
  4. Step 4: Simplify right side
    342,394.29x = 54,283,991,792.75
  5. Step 5: Solve for x
    x = 54,283,991,792.75/342,394.29
  6. Step 6: Final answer
    x = 158,542.34

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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.