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Finding the Fourth Proportional to 128,102.48, 191,923.68 and 78,156.80

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Solution

The fourth proportional to 128,102.48, 191,923.68 and 78,156.80 is: 117,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,102.48 : 191,923.68 = 78,156.80 : x
  2. Step 2: Convert to fraction form
    128,102.48/191,923.68 = 78,156.80/x
  3. Step 3: Cross multiply
    128,102.48x = 191,923.68 × 78,156.80
  4. Step 4: Simplify right side
    128,102.48x = 15,000,140,673.02
  5. Step 5: Solve for x
    x = 15,000,140,673.02/128,102.48
  6. Step 6: Final answer
    x = 117,094.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.