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Finding the Fourth Proportional to 342,549.64, 513,635.82 and 105,826.60

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Solution

The fourth proportional to 342,549.64, 513,635.82 and 105,826.60 is: 158,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,549.64 : 513,635.82 = 105,826.60 : x
  2. Step 2: Convert to fraction form
    342,549.64/513,635.82 = 105,826.60/x
  3. Step 3: Cross multiply
    342,549.64x = 513,635.82 × 105,826.60
  4. Step 4: Simplify right side
    342,549.64x = 54,356,332,468.81
  5. Step 5: Solve for x
    x = 54,356,332,468.81/342,549.64
  6. Step 6: Final answer
    x = 158,681.62

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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.