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Finding the Fourth Proportional to 107,866.08, 161,784 and 45,522

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Solution

The fourth proportional to 107,866.08, 161,784 and 45,522 is: 68,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,866.08 : 161,784 = 45,522 : x
  2. Step 2: Convert to fraction form
    107,866.08/161,784 = 45,522/x
  3. Step 3: Cross multiply
    107,866.08x = 161,784 × 45,522
  4. Step 4: Simplify right side
    107,866.08x = 7,364,731,248
  5. Step 5: Solve for x
    x = 7,364,731,248/107,866.08
  6. Step 6: Final answer
    x = 68,276.62

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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.