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Finding the Fourth Proportional to 78,254.84, 108,033.52 and 61,222.88

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Solution

The fourth proportional to 78,254.84, 108,033.52 and 61,222.88 is: 84,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,254.84 : 108,033.52 = 61,222.88 : x
  2. Step 2: Convert to fraction form
    78,254.84/108,033.52 = 61,222.88/x
  3. Step 3: Cross multiply
    78,254.84x = 108,033.52 × 61,222.88
  4. Step 4: Simplify right side
    78,254.84x = 6,614,123,230.94
  5. Step 5: Solve for x
    x = 6,614,123,230.94/78,254.84
  6. Step 6: Final answer
    x = 84,520.31

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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.