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Finding the Fourth Proportional to 118,842.68, 163,995.78 and 65,117

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Solution

The fourth proportional to 118,842.68, 163,995.78 and 65,117 is: 89,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,842.68 : 163,995.78 = 65,117 : x
  2. Step 2: Convert to fraction form
    118,842.68/163,995.78 = 65,117/x
  3. Step 3: Cross multiply
    118,842.68x = 163,995.78 × 65,117
  4. Step 4: Simplify right side
    118,842.68x = 10,678,913,206.26
  5. Step 5: Solve for x
    x = 10,678,913,206.26/118,842.68
  6. Step 6: Final answer
    x = 89,857.56

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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.