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Finding the Fourth Proportional to 342,044.21, 513,149.36 and 105,386.88

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Solution

The fourth proportional to 342,044.21, 513,149.36 and 105,386.88 is: 158,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,044.21 : 513,149.36 = 105,386.88 : x
  2. Step 2: Convert to fraction form
    342,044.21/513,149.36 = 105,386.88/x
  3. Step 3: Cross multiply
    342,044.21x = 513,149.36 × 105,386.88
  4. Step 4: Simplify right side
    342,044.21x = 54,079,210,024.40
  5. Step 5: Solve for x
    x = 54,079,210,024.40/342,044.21
  6. Step 6: Final answer
    x = 158,105.91

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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.