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Finding the Fourth Proportional to 178,434.78, 246,242.07 and 103,007.58

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Solution

The fourth proportional to 178,434.78, 246,242.07 and 103,007.58 is: 142,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,434.78 : 246,242.07 = 103,007.58 : x
  2. Step 2: Convert to fraction form
    178,434.78/246,242.07 = 103,007.58/x
  3. Step 3: Cross multiply
    178,434.78x = 246,242.07 × 103,007.58
  4. Step 4: Simplify right side
    178,434.78x = 25,364,799,724.89
  5. Step 5: Solve for x
    x = 25,364,799,724.89/178,434.78
  6. Step 6: Final answer
    x = 142,151.66

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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.