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Finding the Fourth Proportional to 117,387, 176,106.42 and 43,515

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Solution

The fourth proportional to 117,387, 176,106.42 and 43,515 is: 65,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,387 : 176,106.42 = 43,515 : x
  2. Step 2: Convert to fraction form
    117,387/176,106.42 = 43,515/x
  3. Step 3: Cross multiply
    117,387x = 176,106.42 × 43,515
  4. Step 4: Simplify right side
    117,387x = 7,663,270,866.30
  5. Step 5: Solve for x
    x = 7,663,270,866.30/117,387
  6. Step 6: Final answer
    x = 65,282.11

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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.