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Finding the Fourth Proportional to 125,083, 187,594.98 and 40,821.40

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Solution

The fourth proportional to 125,083, 187,594.98 and 40,821.40 is: 61,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,083 : 187,594.98 = 40,821.40 : x
  2. Step 2: Convert to fraction form
    125,083/187,594.98 = 40,821.40/x
  3. Step 3: Cross multiply
    125,083x = 187,594.98 × 40,821.40
  4. Step 4: Simplify right side
    125,083x = 7,657,889,716.57
  5. Step 5: Solve for x
    x = 7,657,889,716.57/125,083
  6. Step 6: Final answer
    x = 61,222.47

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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.