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Finding the Fourth Proportional to 97,829.70, 146,744.55 and 74,501.70

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Solution

The fourth proportional to 97,829.70, 146,744.55 and 74,501.70 is: 111,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,829.70 : 146,744.55 = 74,501.70 : x
  2. Step 2: Convert to fraction form
    97,829.70/146,744.55 = 74,501.70/x
  3. Step 3: Cross multiply
    97,829.70x = 146,744.55 × 74,501.70
  4. Step 4: Simplify right side
    97,829.70x = 10,932,718,440.74
  5. Step 5: Solve for x
    x = 10,932,718,440.74/97,829.70
  6. Step 6: Final answer
    x = 111,752.55

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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.