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Finding the Fourth Proportional to 56,751.74, 78,319.20 and 31,259.52

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Solution

The fourth proportional to 56,751.74, 78,319.20 and 31,259.52 is: 43,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,751.74 : 78,319.20 = 31,259.52 : x
  2. Step 2: Convert to fraction form
    56,751.74/78,319.20 = 31,259.52/x
  3. Step 3: Cross multiply
    56,751.74x = 78,319.20 × 31,259.52
  4. Step 4: Simplify right side
    56,751.74x = 2,448,220,716.01
  5. Step 5: Solve for x
    x = 2,448,220,716.01/56,751.74
  6. Step 6: Final answer
    x = 43,139.13

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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.