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Finding the Fourth Proportional to 342,570.25, 513,904.38 and 105,931.18

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Solution

The fourth proportional to 342,570.25, 513,904.38 and 105,931.18 is: 158,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,570.25 : 513,904.38 = 105,931.18 : x
  2. Step 2: Convert to fraction form
    342,570.25/513,904.38 = 105,931.18/x
  3. Step 3: Cross multiply
    342,570.25x = 513,904.38 × 105,931.18
  4. Step 4: Simplify right side
    342,570.25x = 54,438,497,380.57
  5. Step 5: Solve for x
    x = 54,438,497,380.57/342,570.25
  6. Step 6: Final answer
    x = 158,911.92

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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.