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Finding the Fourth Proportional to 105,690.91, 145,930 and 68,030.77

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Solution

The fourth proportional to 105,690.91, 145,930 and 68,030.77 is: 93,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,690.91 : 145,930 = 68,030.77 : x
  2. Step 2: Convert to fraction form
    105,690.91/145,930 = 68,030.77/x
  3. Step 3: Cross multiply
    105,690.91x = 145,930 × 68,030.77
  4. Step 4: Simplify right side
    105,690.91x = 9,927,730,266.10
  5. Step 5: Solve for x
    x = 9,927,730,266.10/105,690.91
  6. Step 6: Final answer
    x = 93,931.73

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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.