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Finding the Fourth Proportional to 191,459.05, 286,751.16 and 91,689.32

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Solution

The fourth proportional to 191,459.05, 286,751.16 and 91,689.32 is: 137,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,459.05 : 286,751.16 = 91,689.32 : x
  2. Step 2: Convert to fraction form
    191,459.05/286,751.16 = 91,689.32/x
  3. Step 3: Cross multiply
    191,459.05x = 286,751.16 × 91,689.32
  4. Step 4: Simplify right side
    191,459.05x = 26,292,019,586.49
  5. Step 5: Solve for x
    x = 26,292,019,586.49/191,459.05
  6. Step 6: Final answer
    x = 137,324.51

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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.