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Finding the Fourth Proportional to 205,319.32, 307,979.03 and 77,259.72

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Solution

The fourth proportional to 205,319.32, 307,979.03 and 77,259.72 is: 115,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,319.32 : 307,979.03 = 77,259.72 : x
  2. Step 2: Convert to fraction form
    205,319.32/307,979.03 = 77,259.72/x
  3. Step 3: Cross multiply
    205,319.32x = 307,979.03 × 77,259.72
  4. Step 4: Simplify right side
    205,319.32x = 23,794,373,623.67
  5. Step 5: Solve for x
    x = 23,794,373,623.67/205,319.32
  6. Step 6: Final answer
    x = 115,889.60

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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.