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Finding the Fourth Proportional to 54,909.70, 75,776.70 and 31,036.47

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Solution

The fourth proportional to 54,909.70, 75,776.70 and 31,036.47 is: 42,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909.70 : 75,776.70 = 31,036.47 : x
  2. Step 2: Convert to fraction form
    54,909.70/75,776.70 = 31,036.47/x
  3. Step 3: Cross multiply
    54,909.70x = 75,776.70 × 31,036.47
  4. Step 4: Simplify right side
    54,909.70x = 2,351,841,276.25
  5. Step 5: Solve for x
    x = 2,351,841,276.25/54,909.70
  6. Step 6: Final answer
    x = 42,831.07

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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.