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Finding the Fourth Proportional to 99,419.60, 137,130.36 and 83,021.60

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Solution

The fourth proportional to 99,419.60, 137,130.36 and 83,021.60 is: 114,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,419.60 : 137,130.36 = 83,021.60 : x
  2. Step 2: Convert to fraction form
    99,419.60/137,130.36 = 83,021.60/x
  3. Step 3: Cross multiply
    99,419.60x = 137,130.36 × 83,021.60
  4. Step 4: Simplify right side
    99,419.60x = 11,384,781,895.78
  5. Step 5: Solve for x
    x = 11,384,781,895.78/99,419.60
  6. Step 6: Final answer
    x = 114,512.45

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1.5x scale

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.