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Finding the Fourth Proportional to 70,947.78, 97,908.70 and 39,117.82

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Solution

The fourth proportional to 70,947.78, 97,908.70 and 39,117.82 is: 53,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.78 : 97,908.70 = 39,117.82 : x
  2. Step 2: Convert to fraction form
    70,947.78/97,908.70 = 39,117.82/x
  3. Step 3: Cross multiply
    70,947.78x = 97,908.70 × 39,117.82
  4. Step 4: Simplify right side
    70,947.78x = 3,829,974,903.03
  5. Step 5: Solve for x
    x = 3,829,974,903.03/70,947.78
  6. Step 6: Final answer
    x = 53,983.01

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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.