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Finding the Fourth Proportional to 51,997.45, 77,985.07 and 16,461.78

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Solution

The fourth proportional to 51,997.45, 77,985.07 and 16,461.78 is: 24,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,997.45 : 77,985.07 = 16,461.78 : x
  2. Step 2: Convert to fraction form
    51,997.45/77,985.07 = 16,461.78/x
  3. Step 3: Cross multiply
    51,997.45x = 77,985.07 × 16,461.78
  4. Step 4: Simplify right side
    51,997.45x = 1,283,772,675.70
  5. Step 5: Solve for x
    x = 1,283,772,675.70/51,997.45
  6. Step 6: Final answer
    x = 24,689.15

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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.