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Finding the Fourth Proportional to 145,915.02, 201,362.22 and 78,847.02

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Solution

The fourth proportional to 145,915.02, 201,362.22 and 78,847.02 is: 108,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,915.02 : 201,362.22 = 78,847.02 : x
  2. Step 2: Convert to fraction form
    145,915.02/201,362.22 = 78,847.02/x
  3. Step 3: Cross multiply
    145,915.02x = 201,362.22 × 78,847.02
  4. Step 4: Simplify right side
    145,915.02x = 15,876,810,987.58
  5. Step 5: Solve for x
    x = 15,876,810,987.58/145,915.02
  6. Step 6: Final answer
    x = 108,808.61

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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.