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Finding the Fourth Proportional to 205,146.60, 307,689.12 and 64,887

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Solution

The fourth proportional to 205,146.60, 307,689.12 and 64,887 is: 97,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,146.60 : 307,689.12 = 64,887 : x
  2. Step 2: Convert to fraction form
    205,146.60/307,689.12 = 64,887/x
  3. Step 3: Cross multiply
    205,146.60x = 307,689.12 × 64,887
  4. Step 4: Simplify right side
    205,146.60x = 19,965,023,929.44
  5. Step 5: Solve for x
    x = 19,965,023,929.44/205,146.60
  6. Step 6: Final answer
    x = 97,320.76

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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.