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Finding the Fourth Proportional to 255,700.17, 383,488.72 and 78,208.71

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Solution

The fourth proportional to 255,700.17, 383,488.72 and 78,208.71 is: 117,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,700.17 : 383,488.72 = 78,208.71 : x
  2. Step 2: Convert to fraction form
    255,700.17/383,488.72 = 78,208.71/x
  3. Step 3: Cross multiply
    255,700.17x = 383,488.72 × 78,208.71
  4. Step 4: Simplify right side
    255,700.17x = 29,992,158,090.75
  5. Step 5: Solve for x
    x = 29,992,158,090.75/255,700.17
  6. Step 6: Final answer
    x = 117,294.24

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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.