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Finding the Fourth Proportional to 70,542.37, 105,675.09 and 40,897.90

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Solution

The fourth proportional to 70,542.37, 105,675.09 and 40,897.90 is: 61,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,542.37 : 105,675.09 = 40,897.90 : x
  2. Step 2: Convert to fraction form
    70,542.37/105,675.09 = 40,897.90/x
  3. Step 3: Cross multiply
    70,542.37x = 105,675.09 × 40,897.90
  4. Step 4: Simplify right side
    70,542.37x = 4,321,889,263.31
  5. Step 5: Solve for x
    x = 4,321,889,263.31/70,542.37
  6. Step 6: Final answer
    x = 61,266.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.