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Finding the Fourth Proportional to 78,182.48, 117,202.64 and 40,698.51

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Solution

The fourth proportional to 78,182.48, 117,202.64 and 40,698.51 is: 61,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182.48 : 117,202.64 = 40,698.51 : x
  2. Step 2: Convert to fraction form
    78,182.48/117,202.64 = 40,698.51/x
  3. Step 3: Cross multiply
    78,182.48x = 117,202.64 × 40,698.51
  4. Step 4: Simplify right side
    78,182.48x = 4,769,972,612.57
  5. Step 5: Solve for x
    x = 4,769,972,612.57/78,182.48
  6. Step 6: Final answer
    x = 61,010.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.