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Finding the Fourth Proportional to 78,515.79, 108,296.89 and 51,649.71

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Solution

The fourth proportional to 78,515.79, 108,296.89 and 51,649.71 is: 71,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,515.79 : 108,296.89 = 51,649.71 : x
  2. Step 2: Convert to fraction form
    78,515.79/108,296.89 = 51,649.71/x
  3. Step 3: Cross multiply
    78,515.79x = 108,296.89 × 51,649.71
  4. Step 4: Simplify right side
    78,515.79x = 5,593,502,962.40
  5. Step 5: Solve for x
    x = 5,593,502,962.40/78,515.79
  6. Step 6: Final answer
    x = 71,240.49

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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.