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Finding the Fourth Proportional to 137,616.80, 189,918.80 and 103,564

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Solution

The fourth proportional to 137,616.80, 189,918.80 and 103,564 is: 142,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,616.80 : 189,918.80 = 103,564 : x
  2. Step 2: Convert to fraction form
    137,616.80/189,918.80 = 103,564/x
  3. Step 3: Cross multiply
    137,616.80x = 189,918.80 × 103,564
  4. Step 4: Simplify right side
    137,616.80x = 19,668,750,603.20
  5. Step 5: Solve for x
    x = 19,668,750,603.20/137,616.80
  6. Step 6: Final answer
    x = 142,924.05

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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.