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Finding the Fourth Proportional to 51,207, 70,666.74 and 28,851

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Solution

The fourth proportional to 51,207, 70,666.74 and 28,851 is: 39,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207 : 70,666.74 = 28,851 : x
  2. Step 2: Convert to fraction form
    51,207/70,666.74 = 28,851/x
  3. Step 3: Cross multiply
    51,207x = 70,666.74 × 28,851
  4. Step 4: Simplify right side
    51,207x = 2,038,806,115.74
  5. Step 5: Solve for x
    x = 2,038,806,115.74/51,207
  6. Step 6: Final answer
    x = 39,814.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.