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Finding the Fourth Proportional to 130,093.47, 195,045.84 and 87,868.98

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Solution

The fourth proportional to 130,093.47, 195,045.84 and 87,868.98 is: 131,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,093.47 : 195,045.84 = 87,868.98 : x
  2. Step 2: Convert to fraction form
    130,093.47/195,045.84 = 87,868.98/x
  3. Step 3: Cross multiply
    130,093.47x = 195,045.84 × 87,868.98
  4. Step 4: Simplify right side
    130,093.47x = 17,138,479,014.04
  5. Step 5: Solve for x
    x = 17,138,479,014.04/130,093.47
  6. Step 6: Final answer
    x = 131,739.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.