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Finding the Fourth Proportional to 105,838.92, 146,034.90 and 61,101

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Solution

The fourth proportional to 105,838.92, 146,034.90 and 61,101 is: 84,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,838.92 : 146,034.90 = 61,101 : x
  2. Step 2: Convert to fraction form
    105,838.92/146,034.90 = 61,101/x
  3. Step 3: Cross multiply
    105,838.92x = 146,034.90 × 61,101
  4. Step 4: Simplify right side
    105,838.92x = 8,922,878,424.90
  5. Step 5: Solve for x
    x = 8,922,878,424.90/105,838.92
  6. Step 6: Final answer
    x = 84,306.21

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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.