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Finding the Fourth Proportional to 70,076.40, 96,705.70 and 38,246

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Solution

The fourth proportional to 70,076.40, 96,705.70 and 38,246 is: 52,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,076.40 : 96,705.70 = 38,246 : x
  2. Step 2: Convert to fraction form
    70,076.40/96,705.70 = 38,246/x
  3. Step 3: Cross multiply
    70,076.40x = 96,705.70 × 38,246
  4. Step 4: Simplify right side
    70,076.40x = 3,698,606,202.20
  5. Step 5: Solve for x
    x = 3,698,606,202.20/70,076.40
  6. Step 6: Final answer
    x = 52,779.63

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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.