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Finding the Fourth Proportional to 238,236.52, 357,278.99 and 78,275.58

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Solution

The fourth proportional to 238,236.52, 357,278.99 and 78,275.58 is: 117,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,236.52 : 357,278.99 = 78,275.58 : x
  2. Step 2: Convert to fraction form
    238,236.52/357,278.99 = 78,275.58/x
  3. Step 3: Cross multiply
    238,236.52x = 357,278.99 × 78,275.58
  4. Step 4: Simplify right side
    238,236.52x = 27,966,220,164.06
  5. Step 5: Solve for x
    x = 27,966,220,164.06/238,236.52
  6. Step 6: Final answer
    x = 117,388.47

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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.