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Finding the Fourth Proportional to 172,854.84, 259,282.26 and 54,538.14

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Solution

The fourth proportional to 172,854.84, 259,282.26 and 54,538.14 is: 81,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,854.84 : 259,282.26 = 54,538.14 : x
  2. Step 2: Convert to fraction form
    172,854.84/259,282.26 = 54,538.14/x
  3. Step 3: Cross multiply
    172,854.84x = 259,282.26 × 54,538.14
  4. Step 4: Simplify right side
    172,854.84x = 14,140,772,195.40
  5. Step 5: Solve for x
    x = 14,140,772,195.40/172,854.84
  6. Step 6: Final answer
    x = 81,807.21

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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.