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Finding the Fourth Proportional to 56,314.76, 77,716.80 and 31,164.26

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Solution

The fourth proportional to 56,314.76, 77,716.80 and 31,164.26 is: 43,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,314.76 : 77,716.80 = 31,164.26 : x
  2. Step 2: Convert to fraction form
    56,314.76/77,716.80 = 31,164.26/x
  3. Step 3: Cross multiply
    56,314.76x = 77,716.80 × 31,164.26
  4. Step 4: Simplify right side
    56,314.76x = 2,421,986,561.57
  5. Step 5: Solve for x
    x = 2,421,986,561.57/56,314.76
  6. Step 6: Final answer
    x = 43,008.02

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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.