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Finding the Fourth Proportional to 255,926.84, 383,964.03 and 78,460.02

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Solution

The fourth proportional to 255,926.84, 383,964.03 and 78,460.02 is: 117,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,926.84 : 383,964.03 = 78,460.02 : x
  2. Step 2: Convert to fraction form
    255,926.84/383,964.03 = 78,460.02/x
  3. Step 3: Cross multiply
    255,926.84x = 383,964.03 × 78,460.02
  4. Step 4: Simplify right side
    255,926.84x = 30,125,825,473.08
  5. Step 5: Solve for x
    x = 30,125,825,473.08/255,926.84
  6. Step 6: Final answer
    x = 117,712.65

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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.