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Finding the Fourth Proportional to 78,058.44, 107,719.80 and 42,247.68

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Solution

The fourth proportional to 78,058.44, 107,719.80 and 42,247.68 is: 58,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058.44 : 107,719.80 = 42,247.68 : x
  2. Step 2: Convert to fraction form
    78,058.44/107,719.80 = 42,247.68/x
  3. Step 3: Cross multiply
    78,058.44x = 107,719.80 × 42,247.68
  4. Step 4: Simplify right side
    78,058.44x = 4,550,911,640.06
  5. Step 5: Solve for x
    x = 4,550,911,640.06/78,058.44
  6. Step 6: Final answer
    x = 58,301.34

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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.