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Finding the Fourth Proportional to 84,262.80, 116,275.56 and 51,988.32

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Solution

The fourth proportional to 84,262.80, 116,275.56 and 51,988.32 is: 71,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,262.80 : 116,275.56 = 51,988.32 : x
  2. Step 2: Convert to fraction form
    84,262.80/116,275.56 = 51,988.32/x
  3. Step 3: Cross multiply
    84,262.80x = 116,275.56 × 51,988.32
  4. Step 4: Simplify right side
    84,262.80x = 6,044,971,021.46
  5. Step 5: Solve for x
    x = 6,044,971,021.46/84,262.80
  6. Step 6: Final answer
    x = 71,739.50

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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.