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Finding the Fourth Proportional to 205,603.48, 308,339.16 and 65,329.32

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Solution

The fourth proportional to 205,603.48, 308,339.16 and 65,329.32 is: 97,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,603.48 : 308,339.16 = 65,329.32 : x
  2. Step 2: Convert to fraction form
    205,603.48/308,339.16 = 65,329.32/x
  3. Step 3: Cross multiply
    205,603.48x = 308,339.16 × 65,329.32
  4. Step 4: Simplify right side
    205,603.48x = 20,143,587,652.17
  5. Step 5: Solve for x
    x = 20,143,587,652.17/205,603.48
  6. Step 6: Final answer
    x = 97,972.99

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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.