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Finding the Fourth Proportional to 98,567.73, 135,976.05 and 64,561.50

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Solution

The fourth proportional to 98,567.73, 135,976.05 and 64,561.50 is: 89,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,567.73 : 135,976.05 = 64,561.50 : x
  2. Step 2: Convert to fraction form
    98,567.73/135,976.05 = 64,561.50/x
  3. Step 3: Cross multiply
    98,567.73x = 135,976.05 × 64,561.50
  4. Step 4: Simplify right side
    98,567.73x = 8,778,817,752.08
  5. Step 5: Solve for x
    x = 8,778,817,752.08/98,567.73
  6. Step 6: Final answer
    x = 89,063.81

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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.