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Finding the Fourth Proportional to 144,078.80, 215,988.60 and 91,461.20

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Solution

The fourth proportional to 144,078.80, 215,988.60 and 91,461.20 is: 137,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,078.80 : 215,988.60 = 91,461.20 : x
  2. Step 2: Convert to fraction form
    144,078.80/215,988.60 = 91,461.20/x
  3. Step 3: Cross multiply
    144,078.80x = 215,988.60 × 91,461.20
  4. Step 4: Simplify right side
    144,078.80x = 19,754,576,542.32
  5. Step 5: Solve for x
    x = 19,754,576,542.32/144,078.80
  6. Step 6: Final answer
    x = 137,109.53

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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.