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Finding the Fourth Proportional to 101,860.50, 140,578.29 and 57,148.50

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Solution

The fourth proportional to 101,860.50, 140,578.29 and 57,148.50 is: 78,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,860.50 : 140,578.29 = 57,148.50 : x
  2. Step 2: Convert to fraction form
    101,860.50/140,578.29 = 57,148.50/x
  3. Step 3: Cross multiply
    101,860.50x = 140,578.29 × 57,148.50
  4. Step 4: Simplify right side
    101,860.50x = 8,033,838,406.07
  5. Step 5: Solve for x
    x = 8,033,838,406.07/101,860.50
  6. Step 6: Final answer
    x = 78,870.99

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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.