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Finding the Fourth Proportional to 257,158.68, 385,738.06 and 124,014.12

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Solution

The fourth proportional to 257,158.68, 385,738.06 and 124,014.12 is: 186,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,158.68 : 385,738.06 = 124,014.12 : x
  2. Step 2: Convert to fraction form
    257,158.68/385,738.06 = 124,014.12/x
  3. Step 3: Cross multiply
    257,158.68x = 385,738.06 × 124,014.12
  4. Step 4: Simplify right side
    257,158.68x = 47,836,966,061.41
  5. Step 5: Solve for x
    x = 47,836,966,061.41/257,158.68
  6. Step 6: Final answer
    x = 186,021.20

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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.