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Finding the Fourth Proportional to 70,279.81, 96,985.32 and 38,448.31

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Solution

The fourth proportional to 70,279.81, 96,985.32 and 38,448.31 is: 53,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,279.81 : 96,985.32 = 38,448.31 : x
  2. Step 2: Convert to fraction form
    70,279.81/96,985.32 = 38,448.31/x
  3. Step 3: Cross multiply
    70,279.81x = 96,985.32 × 38,448.31
  4. Step 4: Simplify right side
    70,279.81x = 3,728,921,648.81
  5. Step 5: Solve for x
    x = 3,728,921,648.81/70,279.81
  6. Step 6: Final answer
    x = 53,058.22

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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.