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Finding the Fourth Proportional to 205,240.60, 307,830.12 and 64,981

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Solution

The fourth proportional to 205,240.60, 307,830.12 and 64,981 is: 97,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,240.60 : 307,830.12 = 64,981 : x
  2. Step 2: Convert to fraction form
    205,240.60/307,830.12 = 64,981/x
  3. Step 3: Cross multiply
    205,240.60x = 307,830.12 × 64,981
  4. Step 4: Simplify right side
    205,240.60x = 20,003,109,027.72
  5. Step 5: Solve for x
    x = 20,003,109,027.72/205,240.60
  6. Step 6: Final answer
    x = 97,461.75

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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.