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Finding the Fourth Proportional to 131,998, 182,156.14 and 74,648.58

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Solution

The fourth proportional to 131,998, 182,156.14 and 74,648.58 is: 103,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,998 : 182,156.14 = 74,648.58 : x
  2. Step 2: Convert to fraction form
    131,998/182,156.14 = 74,648.58/x
  3. Step 3: Cross multiply
    131,998x = 182,156.14 × 74,648.58
  4. Step 4: Simplify right side
    131,998x = 13,597,697,189.28
  5. Step 5: Solve for x
    x = 13,597,697,189.28/131,998
  6. Step 6: Final answer
    x = 103,014.42

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1.5x scale

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.