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Finding the Fourth Proportional to 159,206.81, 219,703.05 and 87,582.56

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Solution

The fourth proportional to 159,206.81, 219,703.05 and 87,582.56 is: 120,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,206.81 : 219,703.05 = 87,582.56 : x
  2. Step 2: Convert to fraction form
    159,206.81/219,703.05 = 87,582.56/x
  3. Step 3: Cross multiply
    159,206.81x = 219,703.05 × 87,582.56
  4. Step 4: Simplify right side
    159,206.81x = 19,242,154,460.29
  5. Step 5: Solve for x
    x = 19,242,154,460.29/159,206.81
  6. Step 6: Final answer
    x = 120,862.64

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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.