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Finding the Fourth Proportional to 191,208.36, 286,539.84 and 140,892.84

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Solution

The fourth proportional to 191,208.36, 286,539.84 and 140,892.84 is: 211,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,208.36 : 286,539.84 = 140,892.84 : x
  2. Step 2: Convert to fraction form
    191,208.36/286,539.84 = 140,892.84/x
  3. Step 3: Cross multiply
    191,208.36x = 286,539.84 × 140,892.84
  4. Step 4: Simplify right side
    191,208.36x = 40,371,411,830.75
  5. Step 5: Solve for x
    x = 40,371,411,830.75/191,208.36
  6. Step 6: Final answer
    x = 211,138.32

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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.