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Finding the Fourth Proportional to 205,486.16, 308,254.15 and 72,339.17

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Solution

The fourth proportional to 205,486.16, 308,254.15 and 72,339.17 is: 108,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,486.16 : 308,254.15 = 72,339.17 : x
  2. Step 2: Convert to fraction form
    205,486.16/308,254.15 = 72,339.17/x
  3. Step 3: Cross multiply
    205,486.16x = 308,254.15 × 72,339.17
  4. Step 4: Simplify right side
    205,486.16x = 22,298,849,360.06
  5. Step 5: Solve for x
    x = 22,298,849,360.06/205,486.16
  6. Step 6: Final answer
    x = 108,517.52

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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.