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Finding the Fourth Proportional to 78,220.32, 108,033.14 and 53,026.08

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Solution

The fourth proportional to 78,220.32, 108,033.14 and 53,026.08 is: 73,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,220.32 : 108,033.14 = 53,026.08 : x
  2. Step 2: Convert to fraction form
    78,220.32/108,033.14 = 53,026.08/x
  3. Step 3: Cross multiply
    78,220.32x = 108,033.14 × 53,026.08
  4. Step 4: Simplify right side
    78,220.32x = 5,728,573,659.16
  5. Step 5: Solve for x
    x = 5,728,573,659.16/78,220.32
  6. Step 6: Final answer
    x = 73,236.39

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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.