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Finding the Fourth Proportional to 205,314.16, 307,982.16 and 65,083.76

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Solution

The fourth proportional to 205,314.16, 307,982.16 and 65,083.76 is: 97,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314.16 : 307,982.16 = 65,083.76 : x
  2. Step 2: Convert to fraction form
    205,314.16/307,982.16 = 65,083.76/x
  3. Step 3: Cross multiply
    205,314.16x = 307,982.16 × 65,083.76
  4. Step 4: Simplify right side
    205,314.16x = 20,044,636,985.72
  5. Step 5: Solve for x
    x = 20,044,636,985.72/205,314.16
  6. Step 6: Final answer
    x = 97,629.10

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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.