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Finding the Fourth Proportional to 242,875.08, 363,992.76 and 136,257

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Solution

The fourth proportional to 242,875.08, 363,992.76 and 136,257 is: 204,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,875.08 : 363,992.76 = 136,257 : x
  2. Step 2: Convert to fraction form
    242,875.08/363,992.76 = 136,257/x
  3. Step 3: Cross multiply
    242,875.08x = 363,992.76 × 136,257
  4. Step 4: Simplify right side
    242,875.08x = 49,596,561,499.32
  5. Step 5: Solve for x
    x = 49,596,561,499.32/242,875.08
  6. Step 6: Final answer
    x = 204,206.05

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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.