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Finding the Fourth Proportional to 98,309.16, 135,660.42 and 64,820.52

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Solution

The fourth proportional to 98,309.16, 135,660.42 and 64,820.52 is: 89,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,309.16 : 135,660.42 = 64,820.52 : x
  2. Step 2: Convert to fraction form
    98,309.16/135,660.42 = 64,820.52/x
  3. Step 3: Cross multiply
    98,309.16x = 135,660.42 × 64,820.52
  4. Step 4: Simplify right side
    98,309.16x = 8,793,578,967.82
  5. Step 5: Solve for x
    x = 8,793,578,967.82/98,309.16
  6. Step 6: Final answer
    x = 89,448.22

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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.