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Finding the Fourth Proportional to 342,615.64, 513,937.86 and 105,962.80

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Solution

The fourth proportional to 342,615.64, 513,937.86 and 105,962.80 is: 158,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,615.64 : 513,937.86 = 105,962.80 : x
  2. Step 2: Convert to fraction form
    342,615.64/513,937.86 = 105,962.80/x
  3. Step 3: Cross multiply
    342,615.64x = 513,937.86 × 105,962.80
  4. Step 4: Simplify right side
    342,615.64x = 54,458,294,671.61
  5. Step 5: Solve for x
    x = 54,458,294,671.61/342,615.64
  6. Step 6: Final answer
    x = 158,948.65

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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.