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Finding the Fourth Proportional to 199,902.40, 299,810.40 and 87,582.40

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Solution

The fourth proportional to 199,902.40, 299,810.40 and 87,582.40 is: 131,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,902.40 : 299,810.40 = 87,582.40 : x
  2. Step 2: Convert to fraction form
    199,902.40/299,810.40 = 87,582.40/x
  3. Step 3: Cross multiply
    199,902.40x = 299,810.40 × 87,582.40
  4. Step 4: Simplify right side
    199,902.40x = 26,258,114,376.96
  5. Step 5: Solve for x
    x = 26,258,114,376.96/199,902.40
  6. Step 6: Final answer
    x = 131,354.67

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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.