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Finding the Fourth Proportional to 126,285, 174,275.73 and 69,695.16

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Solution

The fourth proportional to 126,285, 174,275.73 and 69,695.16 is: 96,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,285 : 174,275.73 = 69,695.16 : x
  2. Step 2: Convert to fraction form
    126,285/174,275.73 = 69,695.16/x
  3. Step 3: Cross multiply
    126,285x = 174,275.73 × 69,695.16
  4. Step 4: Simplify right side
    126,285x = 12,146,174,886.47
  5. Step 5: Solve for x
    x = 12,146,174,886.47/126,285
  6. Step 6: Final answer
    x = 96,180.66

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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.