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Finding the Fourth Proportional to 205,335.40, 307,974.30 and 65,108.20

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Solution

The fourth proportional to 205,335.40, 307,974.30 and 65,108.20 is: 97,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,335.40 : 307,974.30 = 65,108.20 : x
  2. Step 2: Convert to fraction form
    205,335.40/307,974.30 = 65,108.20/x
  3. Step 3: Cross multiply
    205,335.40x = 307,974.30 × 65,108.20
  4. Step 4: Simplify right side
    205,335.40x = 20,051,652,319.26
  5. Step 5: Solve for x
    x = 20,051,652,319.26/205,335.40
  6. Step 6: Final answer
    x = 97,653.17

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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.