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Finding the Fourth Proportional to 159,315.84, 219,860.64 and 87,697.44

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Solution

The fourth proportional to 159,315.84, 219,860.64 and 87,697.44 is: 121,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,315.84 : 219,860.64 = 87,697.44 : x
  2. Step 2: Convert to fraction form
    159,315.84/219,860.64 = 87,697.44/x
  3. Step 3: Cross multiply
    159,315.84x = 219,860.64 × 87,697.44
  4. Step 4: Simplify right side
    159,315.84x = 19,281,215,284.76
  5. Step 5: Solve for x
    x = 19,281,215,284.76/159,315.84
  6. Step 6: Final answer
    x = 121,025.10

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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.