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Finding the Fourth Proportional to 145,915.92, 201,364.11 and 78,847.92

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Solution

The fourth proportional to 145,915.92, 201,364.11 and 78,847.92 is: 108,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,915.92 : 201,364.11 = 78,847.92 : x
  2. Step 2: Convert to fraction form
    145,915.92/201,364.11 = 78,847.92/x
  3. Step 3: Cross multiply
    145,915.92x = 201,364.11 × 78,847.92
  4. Step 4: Simplify right side
    145,915.92x = 15,877,141,236.15
  5. Step 5: Solve for x
    x = 15,877,141,236.15/145,915.92
  6. Step 6: Final answer
    x = 108,810.21

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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.