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Finding the Fourth Proportional to 158,009.10, 218,052.54 and 86,389.10

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Solution

The fourth proportional to 158,009.10, 218,052.54 and 86,389.10 is: 119,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,009.10 : 218,052.54 = 86,389.10 : x
  2. Step 2: Convert to fraction form
    158,009.10/218,052.54 = 86,389.10/x
  3. Step 3: Cross multiply
    158,009.10x = 218,052.54 × 86,389.10
  4. Step 4: Simplify right side
    158,009.10x = 18,837,362,683.31
  5. Step 5: Solve for x
    x = 18,837,362,683.31/158,009.10
  6. Step 6: Final answer
    x = 119,216.95

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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.