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Finding the Fourth Proportional to 133,681.60, 200,522.40 and 83,915.20

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Solution

The fourth proportional to 133,681.60, 200,522.40 and 83,915.20 is: 125,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,681.60 : 200,522.40 = 83,915.20 : x
  2. Step 2: Convert to fraction form
    133,681.60/200,522.40 = 83,915.20/x
  3. Step 3: Cross multiply
    133,681.60x = 200,522.40 × 83,915.20
  4. Step 4: Simplify right side
    133,681.60x = 16,826,877,300.48
  5. Step 5: Solve for x
    x = 16,826,877,300.48/133,681.60
  6. Step 6: Final answer
    x = 125,872.80

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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.