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Finding the Fourth Proportional to 56,264.52, 77,647.44 and 31,114

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Solution

The fourth proportional to 56,264.52, 77,647.44 and 31,114 is: 42,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,264.52 : 77,647.44 = 31,114 : x
  2. Step 2: Convert to fraction form
    56,264.52/77,647.44 = 31,114/x
  3. Step 3: Cross multiply
    56,264.52x = 77,647.44 × 31,114
  4. Step 4: Simplify right side
    56,264.52x = 2,415,922,448.16
  5. Step 5: Solve for x
    x = 2,415,922,448.16/56,264.52
  6. Step 6: Final answer
    x = 42,938.65

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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.