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Finding the Fourth Proportional to 257,162.68, 385,744.08 and 124,018.12

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Solution

The fourth proportional to 257,162.68, 385,744.08 and 124,018.12 is: 186,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,162.68 : 385,744.08 = 124,018.12 : x
  2. Step 2: Convert to fraction form
    257,162.68/385,744.08 = 124,018.12/x
  3. Step 3: Cross multiply
    257,162.68x = 385,744.08 × 124,018.12
  4. Step 4: Simplify right side
    257,162.68x = 47,839,255,602.73
  5. Step 5: Solve for x
    x = 47,839,255,602.73/257,162.68
  6. Step 6: Final answer
    x = 186,027.21

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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.