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Finding the Fourth Proportional to 51,381.50, 77,072.25 and 14,445.50

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Solution

The fourth proportional to 51,381.50, 77,072.25 and 14,445.50 is: 21,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381.50 : 77,072.25 = 14,445.50 : x
  2. Step 2: Convert to fraction form
    51,381.50/77,072.25 = 14,445.50/x
  3. Step 3: Cross multiply
    51,381.50x = 77,072.25 × 14,445.50
  4. Step 4: Simplify right side
    51,381.50x = 1,113,347,187.38
  5. Step 5: Solve for x
    x = 1,113,347,187.38/51,381.50
  6. Step 6: Final answer
    x = 21,668.25

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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.