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Finding the Fourth Proportional to 56,252, 77,628.66 and 31,101.50

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Solution

The fourth proportional to 56,252, 77,628.66 and 31,101.50 is: 42,920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,252 : 77,628.66 = 31,101.50 : x
  2. Step 2: Convert to fraction form
    56,252/77,628.66 = 31,101.50/x
  3. Step 3: Cross multiply
    56,252x = 77,628.66 × 31,101.50
  4. Step 4: Simplify right side
    56,252x = 2,414,367,768.99
  5. Step 5: Solve for x
    x = 2,414,367,768.99/56,252
  6. Step 6: Final answer
    x = 42,920.57

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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.