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Finding the Fourth Proportional to 199,821.40, 299,688.90 and 87,501.40

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Solution

The fourth proportional to 199,821.40, 299,688.90 and 87,501.40 is: 131,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,821.40 : 299,688.90 = 87,501.40 : x
  2. Step 2: Convert to fraction form
    199,821.40/299,688.90 = 87,501.40/x
  3. Step 3: Cross multiply
    199,821.40x = 299,688.90 × 87,501.40
  4. Step 4: Simplify right side
    199,821.40x = 26,223,198,314.46
  5. Step 5: Solve for x
    x = 26,223,198,314.46/199,821.40
  6. Step 6: Final answer
    x = 131,233.18

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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.