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Finding the Fourth Proportional to 238,138.68, 328,635.63 and 130,718.71

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Solution

The fourth proportional to 238,138.68, 328,635.63 and 130,718.71 is: 180,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,138.68 : 328,635.63 = 130,718.71 : x
  2. Step 2: Convert to fraction form
    238,138.68/328,635.63 = 130,718.71/x
  3. Step 3: Cross multiply
    238,138.68x = 328,635.63 × 130,718.71
  4. Step 4: Simplify right side
    238,138.68x = 42,958,826,024.43
  5. Step 5: Solve for x
    x = 42,958,826,024.43/238,138.68
  6. Step 6: Final answer
    x = 180,394.15

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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.