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Finding the Fourth Proportional to 131,582, 197,374.68 and 38,087.84

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Solution

The fourth proportional to 131,582, 197,374.68 and 38,087.84 is: 57,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,582 : 197,374.68 = 38,087.84 : x
  2. Step 2: Convert to fraction form
    131,582/197,374.68 = 38,087.84/x
  3. Step 3: Cross multiply
    131,582x = 197,374.68 × 38,087.84
  4. Step 4: Simplify right side
    131,582x = 7,517,575,231.89
  5. Step 5: Solve for x
    x = 7,517,575,231.89/131,582
  6. Step 6: Final answer
    x = 57,132.25

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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.