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Finding the Fourth Proportional to 123,456.80, 185,228.40 and 53,386.40

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Solution

The fourth proportional to 123,456.80, 185,228.40 and 53,386.40 is: 80,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,456.80 : 185,228.40 = 53,386.40 : x
  2. Step 2: Convert to fraction form
    123,456.80/185,228.40 = 53,386.40/x
  3. Step 3: Cross multiply
    123,456.80x = 185,228.40 × 53,386.40
  4. Step 4: Simplify right side
    123,456.80x = 9,888,677,453.76
  5. Step 5: Solve for x
    x = 9,888,677,453.76/123,456.80
  6. Step 6: Final answer
    x = 80,098.28

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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.