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Finding the Fourth Proportional to 124,947, 187,420.68 and 51,075

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Solution

The fourth proportional to 124,947, 187,420.68 and 51,075 is: 76,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,947 : 187,420.68 = 51,075 : x
  2. Step 2: Convert to fraction form
    124,947/187,420.68 = 51,075/x
  3. Step 3: Cross multiply
    124,947x = 187,420.68 × 51,075
  4. Step 4: Simplify right side
    124,947x = 9,572,511,231
  5. Step 5: Solve for x
    x = 9,572,511,231/124,947
  6. Step 6: Final answer
    x = 76,612.57

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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.