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Finding the Fourth Proportional to 159,218.46, 219,719.86 and 87,598.53

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Solution

The fourth proportional to 159,218.46, 219,719.86 and 87,598.53 is: 120,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,218.46 : 219,719.86 = 87,598.53 : x
  2. Step 2: Convert to fraction form
    159,218.46/219,719.86 = 87,598.53/x
  3. Step 3: Cross multiply
    159,218.46x = 219,719.86 × 87,598.53
  4. Step 4: Simplify right side
    159,218.46x = 19,247,136,528.81
  5. Step 5: Solve for x
    x = 19,247,136,528.81/159,218.46
  6. Step 6: Final answer
    x = 120,885.08

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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.