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Finding the Fourth Proportional to 70,852.57, 97,775.74 and 39,020.78

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Solution

The fourth proportional to 70,852.57, 97,775.74 and 39,020.78 is: 53,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,852.57 : 97,775.74 = 39,020.78 : x
  2. Step 2: Convert to fraction form
    70,852.57/97,775.74 = 39,020.78/x
  3. Step 3: Cross multiply
    70,852.57x = 97,775.74 × 39,020.78
  4. Step 4: Simplify right side
    70,852.57x = 3,815,285,639.88
  5. Step 5: Solve for x
    x = 3,815,285,639.88/70,852.57
  6. Step 6: Final answer
    x = 53,848.23

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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.