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Finding the Fourth Proportional to 70,078.36, 96,708.48 and 38,248

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Solution

The fourth proportional to 70,078.36, 96,708.48 and 38,248 is: 52,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,078.36 : 96,708.48 = 38,248 : x
  2. Step 2: Convert to fraction form
    70,078.36/96,708.48 = 38,248/x
  3. Step 3: Cross multiply
    70,078.36x = 96,708.48 × 38,248
  4. Step 4: Simplify right side
    70,078.36x = 3,698,905,943.04
  5. Step 5: Solve for x
    x = 3,698,905,943.04/70,078.36
  6. Step 6: Final answer
    x = 52,782.43

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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.