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Finding the Fourth Proportional to 137,559.30, 205,901.55 and 98,193.30

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Solution

The fourth proportional to 137,559.30, 205,901.55 and 98,193.30 is: 146,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,559.30 : 205,901.55 = 98,193.30 : x
  2. Step 2: Convert to fraction form
    137,559.30/205,901.55 = 98,193.30/x
  3. Step 3: Cross multiply
    137,559.30x = 205,901.55 × 98,193.30
  4. Step 4: Simplify right side
    137,559.30x = 20,218,152,669.62
  5. Step 5: Solve for x
    x = 20,218,152,669.62/137,559.30
  6. Step 6: Final answer
    x = 146,977.72

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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.