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Finding the Fourth Proportional to 255,973.72, 384,034.28 and 78,506.76

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Solution

The fourth proportional to 255,973.72, 384,034.28 and 78,506.76 is: 117,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,973.72 : 384,034.28 = 78,506.76 : x
  2. Step 2: Convert to fraction form
    255,973.72/384,034.28 = 78,506.76/x
  3. Step 3: Cross multiply
    255,973.72x = 384,034.28 × 78,506.76
  4. Step 4: Simplify right side
    255,973.72x = 30,149,287,051.73
  5. Step 5: Solve for x
    x = 30,149,287,051.73/255,973.72
  6. Step 6: Final answer
    x = 117,782.74

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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.