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Finding the Fourth Proportional to 149,808.80, 224,421.60 and 83,129.60

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Solution

The fourth proportional to 149,808.80, 224,421.60 and 83,129.60 is: 124,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,808.80 : 224,421.60 = 83,129.60 : x
  2. Step 2: Convert to fraction form
    149,808.80/224,421.60 = 83,129.60/x
  3. Step 3: Cross multiply
    149,808.80x = 224,421.60 × 83,129.60
  4. Step 4: Simplify right side
    149,808.80x = 18,656,077,839.36
  5. Step 5: Solve for x
    x = 18,656,077,839.36/149,808.80
  6. Step 6: Final answer
    x = 124,532.59

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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.