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Finding the Fourth Proportional to 257,334.72, 386,080.22 and 124,190.16

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Solution

The fourth proportional to 257,334.72, 386,080.22 and 124,190.16 is: 186,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,334.72 : 386,080.22 = 124,190.16 : x
  2. Step 2: Convert to fraction form
    257,334.72/386,080.22 = 124,190.16/x
  3. Step 3: Cross multiply
    257,334.72x = 386,080.22 × 124,190.16
  4. Step 4: Simplify right side
    257,334.72x = 47,947,364,294.64
  5. Step 5: Solve for x
    x = 47,947,364,294.64/257,334.72
  6. Step 6: Final answer
    x = 186,322.95

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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.