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Finding the Fourth Proportional to 147,663, 221,496.12 and 36,855

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Solution

The fourth proportional to 147,663, 221,496.12 and 36,855 is: 55,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,663 : 221,496.12 = 36,855 : x
  2. Step 2: Convert to fraction form
    147,663/221,496.12 = 36,855/x
  3. Step 3: Cross multiply
    147,663x = 221,496.12 × 36,855
  4. Step 4: Simplify right side
    147,663x = 8,163,239,502.60
  5. Step 5: Solve for x
    x = 8,163,239,502.60/147,663
  6. Step 6: Final answer
    x = 55,282.90

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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.