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Finding the Fourth Proportional to 51,339, 77,043.06 and 18,507

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Solution

The fourth proportional to 51,339, 77,043.06 and 18,507 is: 27,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,339 : 77,043.06 = 18,507 : x
  2. Step 2: Convert to fraction form
    51,339/77,043.06 = 18,507/x
  3. Step 3: Cross multiply
    51,339x = 77,043.06 × 18,507
  4. Step 4: Simplify right side
    51,339x = 1,425,835,911.42
  5. Step 5: Solve for x
    x = 1,425,835,911.42/51,339
  6. Step 6: Final answer
    x = 27,772.96

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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.