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Finding the Fourth Proportional to 78,556.32, 108,406.80 and 51,737.76

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Solution

The fourth proportional to 78,556.32, 108,406.80 and 51,737.76 is: 71,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,556.32 : 108,406.80 = 51,737.76 : x
  2. Step 2: Convert to fraction form
    78,556.32/108,406.80 = 51,737.76/x
  3. Step 3: Cross multiply
    78,556.32x = 108,406.80 × 51,737.76
  4. Step 4: Simplify right side
    78,556.32x = 5,608,725,000.77
  5. Step 5: Solve for x
    x = 5,608,725,000.77/78,556.32
  6. Step 6: Final answer
    x = 71,397.50

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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.