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Finding the Fourth Proportional to 205,603.52, 308,406.78 and 72,486.32

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Solution

The fourth proportional to 205,603.52, 308,406.78 and 72,486.32 is: 108,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,603.52 : 308,406.78 = 72,486.32 : x
  2. Step 2: Convert to fraction form
    205,603.52/308,406.78 = 72,486.32/x
  3. Step 3: Cross multiply
    205,603.52x = 308,406.78 × 72,486.32
  4. Step 4: Simplify right side
    205,603.52x = 22,355,272,545.25
  5. Step 5: Solve for x
    x = 22,355,272,545.25/205,603.52
  6. Step 6: Final answer
    x = 108,730.01

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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.