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Finding the Fourth Proportional to 52,865, 72,953.70 and 29,313

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Solution

The fourth proportional to 52,865, 72,953.70 and 29,313 is: 40,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,865 : 72,953.70 = 29,313 : x
  2. Step 2: Convert to fraction form
    52,865/72,953.70 = 29,313/x
  3. Step 3: Cross multiply
    52,865x = 72,953.70 × 29,313
  4. Step 4: Simplify right side
    52,865x = 2,138,491,808.10
  5. Step 5: Solve for x
    x = 2,138,491,808.10/52,865
  6. Step 6: Final answer
    x = 40,451.94

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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.