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Finding the Fourth Proportional to 77,302.72, 106,892.49 and 61,359.49

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Solution

The fourth proportional to 77,302.72, 106,892.49 and 61,359.49 is: 84,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,302.72 : 106,892.49 = 61,359.49 : x
  2. Step 2: Convert to fraction form
    77,302.72/106,892.49 = 61,359.49/x
  3. Step 3: Cross multiply
    77,302.72x = 106,892.49 × 61,359.49
  4. Step 4: Simplify right side
    77,302.72x = 6,558,868,671.23
  5. Step 5: Solve for x
    x = 6,558,868,671.23/77,302.72
  6. Step 6: Final answer
    x = 84,846.54

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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.