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Finding the Fourth Proportional to 105,689.91, 145,928.62 and 68,029.77

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Solution

The fourth proportional to 105,689.91, 145,928.62 and 68,029.77 is: 93,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,689.91 : 145,928.62 = 68,029.77 : x
  2. Step 2: Convert to fraction form
    105,689.91/145,928.62 = 68,029.77/x
  3. Step 3: Cross multiply
    105,689.91x = 145,928.62 × 68,029.77
  4. Step 4: Simplify right side
    105,689.91x = 9,927,489,737.71
  5. Step 5: Solve for x
    x = 9,927,489,737.71/105,689.91
  6. Step 6: Final answer
    x = 93,930.35

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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.