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Finding the Fourth Proportional to 56,445, 77,896.80 and 31,294.50

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Solution

The fourth proportional to 56,445, 77,896.80 and 31,294.50 is: 43,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,445 : 77,896.80 = 31,294.50 : x
  2. Step 2: Convert to fraction form
    56,445/77,896.80 = 31,294.50/x
  3. Step 3: Cross multiply
    56,445x = 77,896.80 × 31,294.50
  4. Step 4: Simplify right side
    56,445x = 2,437,741,407.60
  5. Step 5: Solve for x
    x = 2,437,741,407.60/56,445
  6. Step 6: Final answer
    x = 43,187.91

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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.