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Finding the Fourth Proportional to 191,137.39, 286,740.65 and 78,755.08

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Solution

The fourth proportional to 191,137.39, 286,740.65 and 78,755.08 is: 118,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,137.39 : 286,740.65 = 78,755.08 : x
  2. Step 2: Convert to fraction form
    191,137.39/286,740.65 = 78,755.08/x
  3. Step 3: Cross multiply
    191,137.39x = 286,740.65 × 78,755.08
  4. Step 4: Simplify right side
    191,137.39x = 22,582,282,830.00
  5. Step 5: Solve for x
    x = 22,582,282,830.00/191,137.39
  6. Step 6: Final answer
    x = 118,146.86

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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.