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Finding the Fourth Proportional to 137,609.76, 189,909.14 and 103,557

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Solution

The fourth proportional to 137,609.76, 189,909.14 and 103,557 is: 142,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,609.76 : 189,909.14 = 103,557 : x
  2. Step 2: Convert to fraction form
    137,609.76/189,909.14 = 103,557/x
  3. Step 3: Cross multiply
    137,609.76x = 189,909.14 × 103,557
  4. Step 4: Simplify right side
    137,609.76x = 19,666,420,810.98
  5. Step 5: Solve for x
    x = 19,666,420,810.98/137,609.76
  6. Step 6: Final answer
    x = 142,914.43

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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.