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Finding the Fourth Proportional to 159,206.85, 219,703.05 and 87,582.60

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Solution

The fourth proportional to 159,206.85, 219,703.05 and 87,582.60 is: 120,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,206.85 : 219,703.05 = 87,582.60 : x
  2. Step 2: Convert to fraction form
    159,206.85/219,703.05 = 87,582.60/x
  3. Step 3: Cross multiply
    159,206.85x = 219,703.05 × 87,582.60
  4. Step 4: Simplify right side
    159,206.85x = 19,242,164,346.93
  5. Step 5: Solve for x
    x = 19,242,164,346.93/159,206.85
  6. Step 6: Final answer
    x = 120,862.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.