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Finding the Fourth Proportional to 105,690.34, 145,929.22 and 68,030.20

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Solution

The fourth proportional to 105,690.34, 145,929.22 and 68,030.20 is: 93,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,690.34 : 145,929.22 = 68,030.20 : x
  2. Step 2: Convert to fraction form
    105,690.34/145,929.22 = 68,030.20/x
  3. Step 3: Cross multiply
    105,690.34x = 145,929.22 × 68,030.20
  4. Step 4: Simplify right side
    105,690.34x = 9,927,594,022.44
  5. Step 5: Solve for x
    x = 9,927,594,022.44/105,690.34
  6. Step 6: Final answer
    x = 93,930.95

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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.