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Finding the Fourth Proportional to 126,838, 175,034.30 and 70,248.16

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Solution

The fourth proportional to 126,838, 175,034.30 and 70,248.16 is: 96,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,838 : 175,034.30 = 70,248.16 : x
  2. Step 2: Convert to fraction form
    126,838/175,034.30 = 70,248.16/x
  3. Step 3: Cross multiply
    126,838x = 175,034.30 × 70,248.16
  4. Step 4: Simplify right side
    126,838x = 12,295,837,160.65
  5. Step 5: Solve for x
    x = 12,295,837,160.65/126,838
  6. Step 6: Final answer
    x = 96,941.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.