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Finding the Fourth Proportional to 122,342.70, 183,514.05 and 86,913.30

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Solution

The fourth proportional to 122,342.70, 183,514.05 and 86,913.30 is: 130,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,342.70 : 183,514.05 = 86,913.30 : x
  2. Step 2: Convert to fraction form
    122,342.70/183,514.05 = 86,913.30/x
  3. Step 3: Cross multiply
    122,342.70x = 183,514.05 × 86,913.30
  4. Step 4: Simplify right side
    122,342.70x = 15,949,811,681.87
  5. Step 5: Solve for x
    x = 15,949,811,681.87/122,342.70
  6. Step 6: Final answer
    x = 130,369.95

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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.