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Finding the Fourth Proportional to 158,564.64, 218,817.45 and 86,944.50

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Solution

The fourth proportional to 158,564.64, 218,817.45 and 86,944.50 is: 119,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,564.64 : 218,817.45 = 86,944.50 : x
  2. Step 2: Convert to fraction form
    158,564.64/218,817.45 = 86,944.50/x
  3. Step 3: Cross multiply
    158,564.64x = 218,817.45 × 86,944.50
  4. Step 4: Simplify right side
    158,564.64x = 19,024,973,781.53
  5. Step 5: Solve for x
    x = 19,024,973,781.53/158,564.64
  6. Step 6: Final answer
    x = 119,982.45

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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.