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Finding the Fourth Proportional to 191,253.12, 286,579.84 and 120,984

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Solution

The fourth proportional to 191,253.12, 286,579.84 and 120,984 is: 181,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,253.12 : 286,579.84 = 120,984 : x
  2. Step 2: Convert to fraction form
    191,253.12/286,579.84 = 120,984/x
  3. Step 3: Cross multiply
    191,253.12x = 286,579.84 × 120,984
  4. Step 4: Simplify right side
    191,253.12x = 34,671,575,362.56
  5. Step 5: Solve for x
    x = 34,671,575,362.56/191,253.12
  6. Step 6: Final answer
    x = 181,286.33

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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.