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Finding the Fourth Proportional to 77,073.68, 106,330.20 and 61,094

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Solution

The fourth proportional to 77,073.68, 106,330.20 and 61,094 is: 84,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.68 : 106,330.20 = 61,094 : x
  2. Step 2: Convert to fraction form
    77,073.68/106,330.20 = 61,094/x
  3. Step 3: Cross multiply
    77,073.68x = 106,330.20 × 61,094
  4. Step 4: Simplify right side
    77,073.68x = 6,496,137,238.80
  5. Step 5: Solve for x
    x = 6,496,137,238.80/77,073.68
  6. Step 6: Final answer
    x = 84,284.77

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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.