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Finding the Fourth Proportional to 137,281.72, 205,926.18 and 47,323.48

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Solution

The fourth proportional to 137,281.72, 205,926.18 and 47,323.48 is: 70,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,281.72 : 205,926.18 = 47,323.48 : x
  2. Step 2: Convert to fraction form
    137,281.72/205,926.18 = 47,323.48/x
  3. Step 3: Cross multiply
    137,281.72x = 205,926.18 × 47,323.48
  4. Step 4: Simplify right side
    137,281.72x = 9,745,143,460.71
  5. Step 5: Solve for x
    x = 9,745,143,460.71/137,281.72
  6. Step 6: Final answer
    x = 70,986.46

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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.