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Finding the Fourth Proportional to 70,947.78, 97,925 and 42,648

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Solution

The fourth proportional to 70,947.78, 97,925 and 42,648 is: 58,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.78 : 97,925 = 42,648 : x
  2. Step 2: Convert to fraction form
    70,947.78/97,925 = 42,648/x
  3. Step 3: Cross multiply
    70,947.78x = 97,925 × 42,648
  4. Step 4: Simplify right side
    70,947.78x = 4,176,305,400
  5. Step 5: Solve for x
    x = 4,176,305,400/70,947.78
  6. Step 6: Final answer
    x = 58,864.50

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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.