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Finding the Fourth Proportional to 70,780.58, 97,677.14 and 38,949.48

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Solution

The fourth proportional to 70,780.58, 97,677.14 and 38,949.48 is: 53,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,780.58 : 97,677.14 = 38,949.48 : x
  2. Step 2: Convert to fraction form
    70,780.58/97,677.14 = 38,949.48/x
  3. Step 3: Cross multiply
    70,780.58x = 97,677.14 × 38,949.48
  4. Step 4: Simplify right side
    70,780.58x = 3,804,474,109.95
  5. Step 5: Solve for x
    x = 3,804,474,109.95/70,780.58
  6. Step 6: Final answer
    x = 53,750.25

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1.5x scale

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.