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Finding the Fourth Proportional to 137,298.48, 205,559.36 and 87,254.48

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Solution

The fourth proportional to 137,298.48, 205,559.36 and 87,254.48 is: 130,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,298.48 : 205,559.36 = 87,254.48 : x
  2. Step 2: Convert to fraction form
    137,298.48/205,559.36 = 87,254.48/x
  3. Step 3: Cross multiply
    137,298.48x = 205,559.36 × 87,254.48
  4. Step 4: Simplify right side
    137,298.48x = 17,935,975,065.93
  5. Step 5: Solve for x
    x = 17,935,975,065.93/137,298.48
  6. Step 6: Final answer
    x = 130,634.91

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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.