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Finding the Fourth Proportional to 118,112, 176,970.75 and 82,988.78

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Solution

The fourth proportional to 118,112, 176,970.75 and 82,988.78 is: 124,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,112 : 176,970.75 = 82,988.78 : x
  2. Step 2: Convert to fraction form
    118,112/176,970.75 = 82,988.78/x
  3. Step 3: Cross multiply
    118,112x = 176,970.75 × 82,988.78
  4. Step 4: Simplify right side
    118,112x = 14,686,586,638.19
  5. Step 5: Solve for x
    x = 14,686,586,638.19/118,112
  6. Step 6: Final answer
    x = 124,344.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.