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Finding the Fourth Proportional to 238,140.94, 328,638.74 and 130,720.97

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Solution

The fourth proportional to 238,140.94, 328,638.74 and 130,720.97 is: 180,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,140.94 : 328,638.74 = 130,720.97 : x
  2. Step 2: Convert to fraction form
    238,140.94/328,638.74 = 130,720.97/x
  3. Step 3: Cross multiply
    238,140.94x = 328,638.74 × 130,720.97
  4. Step 4: Simplify right side
    238,140.94x = 42,959,972,575.58
  5. Step 5: Solve for x
    x = 42,959,972,575.58/238,140.94
  6. Step 6: Final answer
    x = 180,397.26

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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.