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Finding the Fourth Proportional to 178,896.84, 247,094.16 and 130,422

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Solution

The fourth proportional to 178,896.84, 247,094.16 and 130,422 is: 180,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,896.84 : 247,094.16 = 130,422 : x
  2. Step 2: Convert to fraction form
    178,896.84/247,094.16 = 130,422/x
  3. Step 3: Cross multiply
    178,896.84x = 247,094.16 × 130,422
  4. Step 4: Simplify right side
    178,896.84x = 32,226,514,535.52
  5. Step 5: Solve for x
    x = 32,226,514,535.52/178,896.84
  6. Step 6: Final answer
    x = 180,140.21

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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.