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Finding the Fourth Proportional to 51,891.78, 71,605.80 and 30,666.90

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Solution

The fourth proportional to 51,891.78, 71,605.80 and 30,666.90 is: 42,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,891.78 : 71,605.80 = 30,666.90 : x
  2. Step 2: Convert to fraction form
    51,891.78/71,605.80 = 30,666.90/x
  3. Step 3: Cross multiply
    51,891.78x = 71,605.80 × 30,666.90
  4. Step 4: Simplify right side
    51,891.78x = 2,195,927,908.02
  5. Step 5: Solve for x
    x = 2,195,927,908.02/51,891.78
  6. Step 6: Final answer
    x = 42,317.45

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1.5x scale

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.