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Finding the Fourth Proportional to 70,858.61, 97,780.38 and 39,027.50

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Solution

The fourth proportional to 70,858.61, 97,780.38 and 39,027.50 is: 53,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,858.61 : 97,780.38 = 39,027.50 : x
  2. Step 2: Convert to fraction form
    70,858.61/97,780.38 = 39,027.50/x
  3. Step 3: Cross multiply
    70,858.61x = 97,780.38 × 39,027.50
  4. Step 4: Simplify right side
    70,858.61x = 3,816,123,780.45
  5. Step 5: Solve for x
    x = 3,816,123,780.45/70,858.61
  6. Step 6: Final answer
    x = 53,855.47

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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.