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Finding the Fourth Proportional to 159,140, 219,618.72 and 87,525.44

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Solution

The fourth proportional to 159,140, 219,618.72 and 87,525.44 is: 120,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,140 : 219,618.72 = 87,525.44 : x
  2. Step 2: Convert to fraction form
    159,140/219,618.72 = 87,525.44/x
  3. Step 3: Cross multiply
    159,140x = 219,618.72 × 87,525.44
  4. Step 4: Simplify right side
    159,140x = 19,222,225,100.24
  5. Step 5: Solve for x
    x = 19,222,225,100.24/159,140
  6. Step 6: Final answer
    x = 120,788.14

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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.