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Finding the Fourth Proportional to 128,023.65, 191,807.60 and 78,077.97

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Solution

The fourth proportional to 128,023.65, 191,807.60 and 78,077.97 is: 116,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,023.65 : 191,807.60 = 78,077.97 : x
  2. Step 2: Convert to fraction form
    128,023.65/191,807.60 = 78,077.97/x
  3. Step 3: Cross multiply
    128,023.65x = 191,807.60 × 78,077.97
  4. Step 4: Simplify right side
    128,023.65x = 14,975,947,648.18
  5. Step 5: Solve for x
    x = 14,975,947,648.18/128,023.65
  6. Step 6: Final answer
    x = 116,977.98

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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.