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Finding the Fourth Proportional to 56,458.84, 77,912.22 and 31,308.52

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Solution

The fourth proportional to 56,458.84, 77,912.22 and 31,308.52 is: 43,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,458.84 : 77,912.22 = 31,308.52 : x
  2. Step 2: Convert to fraction form
    56,458.84/77,912.22 = 31,308.52/x
  3. Step 3: Cross multiply
    56,458.84x = 77,912.22 × 31,308.52
  4. Step 4: Simplify right side
    56,458.84x = 2,439,316,298.11
  5. Step 5: Solve for x
    x = 2,439,316,298.11/56,458.84
  6. Step 6: Final answer
    x = 43,205.21

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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.