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Finding the Fourth Proportional to 191,021.42, 286,515.63 and 64,658.96

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Solution

The fourth proportional to 191,021.42, 286,515.63 and 64,658.96 is: 96,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,021.42 : 286,515.63 = 64,658.96 : x
  2. Step 2: Convert to fraction form
    191,021.42/286,515.63 = 64,658.96/x
  3. Step 3: Cross multiply
    191,021.42x = 286,515.63 × 64,658.96
  4. Step 4: Simplify right side
    191,021.42x = 18,525,802,301.40
  5. Step 5: Solve for x
    x = 18,525,802,301.40/191,021.42
  6. Step 6: Final answer
    x = 96,982.85

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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.