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Finding the Fourth Proportional to 147,915.64, 221,871.42 and 138,459.60

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Solution

The fourth proportional to 147,915.64, 221,871.42 and 138,459.60 is: 207,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,915.64 : 221,871.42 = 138,459.60 : x
  2. Step 2: Convert to fraction form
    147,915.64/221,871.42 = 138,459.60/x
  3. Step 3: Cross multiply
    147,915.64x = 221,871.42 × 138,459.60
  4. Step 4: Simplify right side
    147,915.64x = 30,720,228,064.63
  5. Step 5: Solve for x
    x = 30,720,228,064.63/147,915.64
  6. Step 6: Final answer
    x = 207,687.49

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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.