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Finding the Fourth Proportional to 161,480, 242,244.60 and 82,567.58

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Solution

The fourth proportional to 161,480, 242,244.60 and 82,567.58 is: 123,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,480 : 242,244.60 = 82,567.58 : x
  2. Step 2: Convert to fraction form
    161,480/242,244.60 = 82,567.58/x
  3. Step 3: Cross multiply
    161,480x = 242,244.60 × 82,567.58
  4. Step 4: Simplify right side
    161,480x = 20,001,550,390.07
  5. Step 5: Solve for x
    x = 20,001,550,390.07/161,480
  6. Step 6: Final answer
    x = 123,863.95

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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.