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Finding the Fourth Proportional to 242,117.74, 363,178.43 and 84,345.94

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Solution

The fourth proportional to 242,117.74, 363,178.43 and 84,345.94 is: 126,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,117.74 : 363,178.43 = 84,345.94 : x
  2. Step 2: Convert to fraction form
    242,117.74/363,178.43 = 84,345.94/x
  3. Step 3: Cross multiply
    242,117.74x = 363,178.43 × 84,345.94
  4. Step 4: Simplify right side
    242,117.74x = 30,632,623,828.45
  5. Step 5: Solve for x
    x = 30,632,623,828.45/242,117.74
  6. Step 6: Final answer
    x = 126,519.54

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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.