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Finding the Fourth Proportional to 51,396, 77,094 and 14,460

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Solution

The fourth proportional to 51,396, 77,094 and 14,460 is: 21,690

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,396 : 77,094 = 14,460 : x
  2. Step 2: Convert to fraction form
    51,396/77,094 = 14,460/x
  3. Step 3: Cross multiply
    51,396x = 77,094 × 14,460
  4. Step 4: Simplify right side
    51,396x = 1,114,779,240
  5. Step 5: Solve for x
    x = 1,114,779,240/51,396
  6. Step 6: Final answer
    x = 21,690

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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.