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Finding the Fourth Proportional to 158,048.00, 218,106.23 and 86,428.07

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Solution

The fourth proportional to 158,048.00, 218,106.23 and 86,428.07 is: 119,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,048.00 : 218,106.23 = 86,428.07 : x
  2. Step 2: Convert to fraction form
    158,048.00/218,106.23 = 86,428.07/x
  3. Step 3: Cross multiply
    158,048.00x = 218,106.23 × 86,428.07
  4. Step 4: Simplify right side
    158,048.00x = 18,850,498,991.20
  5. Step 5: Solve for x
    x = 18,850,498,991.20/158,048.00
  6. Step 6: Final answer
    x = 119,270.73

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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.