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Finding the Fourth Proportional to 98,308.16, 135,659.04 and 64,819.52

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Solution

The fourth proportional to 98,308.16, 135,659.04 and 64,819.52 is: 89,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,308.16 : 135,659.04 = 64,819.52 : x
  2. Step 2: Convert to fraction form
    98,308.16/135,659.04 = 64,819.52/x
  3. Step 3: Cross multiply
    98,308.16x = 135,659.04 × 64,819.52
  4. Step 4: Simplify right side
    98,308.16x = 8,793,353,856.46
  5. Step 5: Solve for x
    x = 8,793,353,856.46/98,308.16
  6. Step 6: Final answer
    x = 89,446.84

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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.