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Finding the Fourth Proportional to 238,706.76, 357,986.93 and 78,753.18

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Solution

The fourth proportional to 238,706.76, 357,986.93 and 78,753.18 is: 118,105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,706.76 : 357,986.93 = 78,753.18 : x
  2. Step 2: Convert to fraction form
    238,706.76/357,986.93 = 78,753.18/x
  3. Step 3: Cross multiply
    238,706.76x = 357,986.93 × 78,753.18
  4. Step 4: Simplify right side
    238,706.76x = 28,192,608,742.17
  5. Step 5: Solve for x
    x = 28,192,608,742.17/238,706.76
  6. Step 6: Final answer
    x = 118,105.62

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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.