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Finding the Fourth Proportional to 191,138.89, 286,742.90 and 78,756.59

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Solution

The fourth proportional to 191,138.89, 286,742.90 and 78,756.59 is: 118,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,138.89 : 286,742.90 = 78,756.59 : x
  2. Step 2: Convert to fraction form
    191,138.89/286,742.90 = 78,756.59/x
  3. Step 3: Cross multiply
    191,138.89x = 286,742.90 × 78,756.59
  4. Step 4: Simplify right side
    191,138.89x = 22,582,893,010.71
  5. Step 5: Solve for x
    x = 22,582,893,010.71/191,138.89
  6. Step 6: Final answer
    x = 118,149.13

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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.