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Finding the Fourth Proportional to 159,313.50, 238,970.25 and 65,821.68

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Solution

The fourth proportional to 159,313.50, 238,970.25 and 65,821.68 is: 98,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,313.50 : 238,970.25 = 65,821.68 : x
  2. Step 2: Convert to fraction form
    159,313.50/238,970.25 = 65,821.68/x
  3. Step 3: Cross multiply
    159,313.50x = 238,970.25 × 65,821.68
  4. Step 4: Simplify right side
    159,313.50x = 15,729,423,325.02
  5. Step 5: Solve for x
    x = 15,729,423,325.02/159,313.50
  6. Step 6: Final answer
    x = 98,732.52

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1.5x scale

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.