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Finding the Fourth Proportional to 225,334, 310,967.40 and 124,738.48

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Solution

The fourth proportional to 225,334, 310,967.40 and 124,738.48 is: 172,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,334 : 310,967.40 = 124,738.48 : x
  2. Step 2: Convert to fraction form
    225,334/310,967.40 = 124,738.48/x
  3. Step 3: Cross multiply
    225,334x = 310,967.40 × 124,738.48
  4. Step 4: Simplify right side
    225,334x = 38,789,600,805.55
  5. Step 5: Solve for x
    x = 38,789,600,805.55/225,334
  6. Step 6: Final answer
    x = 172,142.69

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1.5x scale

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.