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Finding the Fourth Proportional to 191,138.48, 286,591.08 and 78,783.92

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Solution

The fourth proportional to 191,138.48, 286,591.08 and 78,783.92 is: 118,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,138.48 : 286,591.08 = 78,783.92 : x
  2. Step 2: Convert to fraction form
    191,138.48/286,591.08 = 78,783.92/x
  3. Step 3: Cross multiply
    191,138.48x = 286,591.08 × 78,783.92
  4. Step 4: Simplify right side
    191,138.48x = 22,578,768,719.43
  5. Step 5: Solve for x
    x = 22,578,768,719.43/191,138.48
  6. Step 6: Final answer
    x = 118,127.80

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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.