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Finding the Fourth Proportional to 78,590.16, 117,873.54 and 28,658.52

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Solution

The fourth proportional to 78,590.16, 117,873.54 and 28,658.52 is: 42,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,590.16 : 117,873.54 = 28,658.52 : x
  2. Step 2: Convert to fraction form
    78,590.16/117,873.54 = 28,658.52/x
  3. Step 3: Cross multiply
    78,590.16x = 117,873.54 × 28,658.52
  4. Step 4: Simplify right side
    78,590.16x = 3,378,081,203.56
  5. Step 5: Solve for x
    x = 3,378,081,203.56/78,590.16
  6. Step 6: Final answer
    x = 42,983.51

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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.