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Finding the Fourth Proportional to 118,944, 164,127.65 and 65,214.90

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Solution

The fourth proportional to 118,944, 164,127.65 and 65,214.90 is: 89,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,944 : 164,127.65 = 65,214.90 : x
  2. Step 2: Convert to fraction form
    118,944/164,127.65 = 65,214.90/x
  3. Step 3: Cross multiply
    118,944x = 164,127.65 × 65,214.90
  4. Step 4: Simplify right side
    118,944x = 10,703,567,955.91
  5. Step 5: Solve for x
    x = 10,703,567,955.91/118,944
  6. Step 6: Final answer
    x = 89,988.30

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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.