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Finding the Fourth Proportional to 71,852.88, 107,146.32 and 66,866.52

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Solution

The fourth proportional to 71,852.88, 107,146.32 and 66,866.52 is: 99,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,852.88 : 107,146.32 = 66,866.52 : x
  2. Step 2: Convert to fraction form
    71,852.88/107,146.32 = 66,866.52/x
  3. Step 3: Cross multiply
    71,852.88x = 107,146.32 × 66,866.52
  4. Step 4: Simplify right side
    71,852.88x = 7,164,501,549.21
  5. Step 5: Solve for x
    x = 7,164,501,549.21/71,852.88
  6. Step 6: Final answer
    x = 99,710.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.