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Finding the Fourth Proportional to 109,309.84, 150,848.08 and 61,564

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Solution

The fourth proportional to 109,309.84, 150,848.08 and 61,564 is: 84,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,309.84 : 150,848.08 = 61,564 : x
  2. Step 2: Convert to fraction form
    109,309.84/150,848.08 = 61,564/x
  3. Step 3: Cross multiply
    109,309.84x = 150,848.08 × 61,564
  4. Step 4: Simplify right side
    109,309.84x = 9,286,811,197.12
  5. Step 5: Solve for x
    x = 9,286,811,197.12/109,309.84
  6. Step 6: Final answer
    x = 84,958.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.