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Finding the Fourth Proportional to 54,882, 75,740.40 and 31,008.06

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Solution

The fourth proportional to 54,882, 75,740.40 and 31,008.06 is: 42,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882 : 75,740.40 = 31,008.06 : x
  2. Step 2: Convert to fraction form
    54,882/75,740.40 = 31,008.06/x
  3. Step 3: Cross multiply
    54,882x = 75,740.40 × 31,008.06
  4. Step 4: Simplify right side
    54,882x = 2,348,562,867.62
  5. Step 5: Solve for x
    x = 2,348,562,867.62/54,882
  6. Step 6: Final answer
    x = 42,792.95

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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.