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Finding the Fourth Proportional to 124,189.58, 171,289.20 and 78,828.16

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Solution

The fourth proportional to 124,189.58, 171,289.20 and 78,828.16 is: 108,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,189.58 : 171,289.20 = 78,828.16 : x
  2. Step 2: Convert to fraction form
    124,189.58/171,289.20 = 78,828.16/x
  3. Step 3: Cross multiply
    124,189.58x = 171,289.20 × 78,828.16
  4. Step 4: Simplify right side
    124,189.58x = 13,502,412,463.87
  5. Step 5: Solve for x
    x = 13,502,412,463.87/124,189.58
  6. Step 6: Final answer
    x = 108,724.20

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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.