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Finding the Fourth Proportional to 218,563.77, 301,623.14 and 121,774.13

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Solution

The fourth proportional to 218,563.77, 301,623.14 and 121,774.13 is: 168,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,563.77 : 301,623.14 = 121,774.13 : x
  2. Step 2: Convert to fraction form
    218,563.77/301,623.14 = 121,774.13/x
  3. Step 3: Cross multiply
    218,563.77x = 301,623.14 × 121,774.13
  4. Step 4: Simplify right side
    218,563.77x = 36,729,897,085.40
  5. Step 5: Solve for x
    x = 36,729,897,085.40/218,563.77
  6. Step 6: Final answer
    x = 168,051.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.