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Finding the Fourth Proportional to 342,620.67, 513,931.01 and 105,965.40

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Solution

The fourth proportional to 342,620.67, 513,931.01 and 105,965.40 is: 158,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,620.67 : 513,931.01 = 105,965.40 : x
  2. Step 2: Convert to fraction form
    342,620.67/513,931.01 = 105,965.40/x
  3. Step 3: Cross multiply
    342,620.67x = 513,931.01 × 105,965.40
  4. Step 4: Simplify right side
    342,620.67x = 54,458,904,517.23
  5. Step 5: Solve for x
    x = 54,458,904,517.23/342,620.67
  6. Step 6: Final answer
    x = 158,948.10

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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.