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Finding the Fourth Proportional to 238,696.38, 357,967.98 and 78,736.38

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Solution

The fourth proportional to 238,696.38, 357,967.98 and 78,736.38 is: 118,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,696.38 : 357,967.98 = 78,736.38 : x
  2. Step 2: Convert to fraction form
    238,696.38/357,967.98 = 78,736.38/x
  3. Step 3: Cross multiply
    238,696.38x = 357,967.98 × 78,736.38
  4. Step 4: Simplify right side
    238,696.38x = 28,185,102,901.11
  5. Step 5: Solve for x
    x = 28,185,102,901.11/238,696.38
  6. Step 6: Final answer
    x = 118,079.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.