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Finding the Fourth Proportional to 159,032, 219,232.88 and 111,136.64

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Solution

The fourth proportional to 159,032, 219,232.88 and 111,136.64 is: 153,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,032 : 219,232.88 = 111,136.64 : x
  2. Step 2: Convert to fraction form
    159,032/219,232.88 = 111,136.64/x
  3. Step 3: Cross multiply
    159,032x = 219,232.88 × 111,136.64
  4. Step 4: Simplify right side
    159,032x = 24,364,805,660.72
  5. Step 5: Solve for x
    x = 24,364,805,660.72/159,032
  6. Step 6: Final answer
    x = 153,206.94

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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.