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Finding the Fourth Proportional to 78,724.96, 108,639.84 and 42,915.84

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Solution

The fourth proportional to 78,724.96, 108,639.84 and 42,915.84 is: 59,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,724.96 : 108,639.84 = 42,915.84 : x
  2. Step 2: Convert to fraction form
    78,724.96/108,639.84 = 42,915.84/x
  3. Step 3: Cross multiply
    78,724.96x = 108,639.84 × 42,915.84
  4. Step 4: Simplify right side
    78,724.96x = 4,662,369,991.07
  5. Step 5: Solve for x
    x = 4,662,369,991.07/78,724.96
  6. Step 6: Final answer
    x = 59,223.53

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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.