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Finding the Fourth Proportional to 56,387.97, 77,814.56 and 30,894.14

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Solution

The fourth proportional to 56,387.97, 77,814.56 and 30,894.14 is: 42,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,387.97 : 77,814.56 = 30,894.14 : x
  2. Step 2: Convert to fraction form
    56,387.97/77,814.56 = 30,894.14/x
  3. Step 3: Cross multiply
    56,387.97x = 77,814.56 × 30,894.14
  4. Step 4: Simplify right side
    56,387.97x = 2,404,013,367.13
  5. Step 5: Solve for x
    x = 2,404,013,367.13/56,387.97
  6. Step 6: Final answer
    x = 42,633.44

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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.