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Finding the Fourth Proportional to 122,006.70, 182,653.65 and 87,014.70

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Solution

The fourth proportional to 122,006.70, 182,653.65 and 87,014.70 is: 130,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,006.70 : 182,653.65 = 87,014.70 : x
  2. Step 2: Convert to fraction form
    122,006.70/182,653.65 = 87,014.70/x
  3. Step 3: Cross multiply
    122,006.70x = 182,653.65 × 87,014.70
  4. Step 4: Simplify right side
    122,006.70x = 15,893,552,558.66
  5. Step 5: Solve for x
    x = 15,893,552,558.66/122,006.70
  6. Step 6: Final answer
    x = 130,267.87

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1.5x scale

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.