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Finding the Fourth Proportional to 51,438, 77,161.32 and 14,502

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Solution

The fourth proportional to 51,438, 77,161.32 and 14,502 is: 21,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,438 : 77,161.32 = 14,502 : x
  2. Step 2: Convert to fraction form
    51,438/77,161.32 = 14,502/x
  3. Step 3: Cross multiply
    51,438x = 77,161.32 × 14,502
  4. Step 4: Simplify right side
    51,438x = 1,118,993,462.64
  5. Step 5: Solve for x
    x = 1,118,993,462.64/51,438
  6. Step 6: Final answer
    x = 21,754.22

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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.