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Finding the Fourth Proportional to 97,313.85, 145,970.78 and 67,246.65

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Solution

The fourth proportional to 97,313.85, 145,970.78 and 67,246.65 is: 100,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,313.85 : 145,970.78 = 67,246.65 : x
  2. Step 2: Convert to fraction form
    97,313.85/145,970.78 = 67,246.65/x
  3. Step 3: Cross multiply
    97,313.85x = 145,970.78 × 67,246.65
  4. Step 4: Simplify right side
    97,313.85x = 9,816,045,616.65
  5. Step 5: Solve for x
    x = 9,816,045,616.65/97,313.85
  6. Step 6: Final answer
    x = 100,869.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.