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Finding the Fourth Proportional to 51,382.50, 77,073.75 and 14,446.50

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Solution

The fourth proportional to 51,382.50, 77,073.75 and 14,446.50 is: 21,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,382.50 : 77,073.75 = 14,446.50 : x
  2. Step 2: Convert to fraction form
    51,382.50/77,073.75 = 14,446.50/x
  3. Step 3: Cross multiply
    51,382.50x = 77,073.75 × 14,446.50
  4. Step 4: Simplify right side
    51,382.50x = 1,113,445,929.38
  5. Step 5: Solve for x
    x = 1,113,445,929.38/51,382.50
  6. Step 6: Final answer
    x = 21,669.75

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1.5x scale

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.