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Finding the Fourth Proportional to 67,708.92, 102,029 and 56,122.94

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Solution

The fourth proportional to 67,708.92, 102,029 and 56,122.94 is: 84,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,708.92 : 102,029 = 56,122.94 : x
  2. Step 2: Convert to fraction form
    67,708.92/102,029 = 56,122.94/x
  3. Step 3: Cross multiply
    67,708.92x = 102,029 × 56,122.94
  4. Step 4: Simplify right side
    67,708.92x = 5,726,167,445.26
  5. Step 5: Solve for x
    x = 5,726,167,445.26/67,708.92
  6. Step 6: Final answer
    x = 84,570.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.