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Finding the Fourth Proportional to 125,137.42, 187,870.56 and 74,629.06

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Solution

The fourth proportional to 125,137.42, 187,870.56 and 74,629.06 is: 112,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,137.42 : 187,870.56 = 74,629.06 : x
  2. Step 2: Convert to fraction form
    125,137.42/187,870.56 = 74,629.06/x
  3. Step 3: Cross multiply
    125,137.42x = 187,870.56 × 74,629.06
  4. Step 4: Simplify right side
    125,137.42x = 14,020,603,294.47
  5. Step 5: Solve for x
    x = 14,020,603,294.47/125,137.42
  6. Step 6: Final answer
    x = 112,041.65

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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.