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Finding the Fourth Proportional to 102,103.61, 140,903.07 and 56,780.60

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Solution

The fourth proportional to 102,103.61, 140,903.07 and 56,780.60 is: 78,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103.61 : 140,903.07 = 56,780.60 : x
  2. Step 2: Convert to fraction form
    102,103.61/140,903.07 = 56,780.60/x
  3. Step 3: Cross multiply
    102,103.61x = 140,903.07 × 56,780.60
  4. Step 4: Simplify right side
    102,103.61x = 8,000,561,287.56
  5. Step 5: Solve for x
    x = 8,000,561,287.56/102,103.61
  6. Step 6: Final answer
    x = 78,357.28

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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.