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Finding the Fourth Proportional to 105,367.41, 145,366.41 and 65,011.20

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Solution

The fourth proportional to 105,367.41, 145,366.41 and 65,011.20 is: 89,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,367.41 : 145,366.41 = 65,011.20 : x
  2. Step 2: Convert to fraction form
    105,367.41/145,366.41 = 65,011.20/x
  3. Step 3: Cross multiply
    105,367.41x = 145,366.41 × 65,011.20
  4. Step 4: Simplify right side
    105,367.41x = 9,450,444,753.79
  5. Step 5: Solve for x
    x = 9,450,444,753.79/105,367.41
  6. Step 6: Final answer
    x = 89,690.40

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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.