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Finding the Fourth Proportional to 147,462, 221,193.81 and 36,654

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Solution

The fourth proportional to 147,462, 221,193.81 and 36,654 is: 54,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,462 : 221,193.81 = 36,654 : x
  2. Step 2: Convert to fraction form
    147,462/221,193.81 = 36,654/x
  3. Step 3: Cross multiply
    147,462x = 221,193.81 × 36,654
  4. Step 4: Simplify right side
    147,462x = 8,107,637,911.74
  5. Step 5: Solve for x
    x = 8,107,637,911.74/147,462
  6. Step 6: Final answer
    x = 54,981.20

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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.