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Finding the Fourth Proportional to 178,149.78, 245,703.38 and 137,972.16

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Solution

The fourth proportional to 178,149.78, 245,703.38 and 137,972.16 is: 190,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,149.78 : 245,703.38 = 137,972.16 : x
  2. Step 2: Convert to fraction form
    178,149.78/245,703.38 = 137,972.16/x
  3. Step 3: Cross multiply
    178,149.78x = 245,703.38 × 137,972.16
  4. Step 4: Simplify right side
    178,149.78x = 33,900,225,368.04
  5. Step 5: Solve for x
    x = 33,900,225,368.04/178,149.78
  6. Step 6: Final answer
    x = 190,290.58

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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.