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Finding the Fourth Proportional to 98,822.79, 136,394.78 and 77,269.91

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Solution

The fourth proportional to 98,822.79, 136,394.78 and 77,269.91 is: 106,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,822.79 : 136,394.78 = 77,269.91 : x
  2. Step 2: Convert to fraction form
    98,822.79/136,394.78 = 77,269.91/x
  3. Step 3: Cross multiply
    98,822.79x = 136,394.78 × 77,269.91
  4. Step 4: Simplify right side
    98,822.79x = 10,539,211,306.75
  5. Step 5: Solve for x
    x = 10,539,211,306.75/98,822.79
  6. Step 6: Final answer
    x = 106,647.58

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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.