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Finding the Fourth Proportional to 98,789, 136,330.98 and 54,077

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Solution

The fourth proportional to 98,789, 136,330.98 and 54,077 is: 74,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,789 : 136,330.98 = 54,077 : x
  2. Step 2: Convert to fraction form
    98,789/136,330.98 = 54,077/x
  3. Step 3: Cross multiply
    98,789x = 136,330.98 × 54,077
  4. Step 4: Simplify right side
    98,789x = 7,372,370,405.46
  5. Step 5: Solve for x
    x = 7,372,370,405.46/98,789
  6. Step 6: Final answer
    x = 74,627.44

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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.