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Finding the Fourth Proportional to 56,277, 77,664.70 and 31,126.52

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Solution

The fourth proportional to 56,277, 77,664.70 and 31,126.52 is: 42,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,277 : 77,664.70 = 31,126.52 : x
  2. Step 2: Convert to fraction form
    56,277/77,664.70 = 31,126.52/x
  3. Step 3: Cross multiply
    56,277x = 77,664.70 × 31,126.52
  4. Step 4: Simplify right side
    56,277x = 2,417,431,837.84
  5. Step 5: Solve for x
    x = 2,417,431,837.84/56,277
  6. Step 6: Final answer
    x = 42,955.95

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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.