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Finding the Fourth Proportional to 191,442.75, 286,662.51 and 134,977.20

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Solution

The fourth proportional to 191,442.75, 286,662.51 and 134,977.20 is: 202,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,442.75 : 286,662.51 = 134,977.20 : x
  2. Step 2: Convert to fraction form
    191,442.75/286,662.51 = 134,977.20/x
  3. Step 3: Cross multiply
    191,442.75x = 286,662.51 × 134,977.20
  4. Step 4: Simplify right side
    191,442.75x = 38,692,902,944.77
  5. Step 5: Solve for x
    x = 38,692,902,944.77/191,442.75
  6. Step 6: Final answer
    x = 202,112.14

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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.