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Finding the Fourth Proportional to 191,465.70, 287,228.94 and 58,315.08

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Solution

The fourth proportional to 191,465.70, 287,228.94 and 58,315.08 is: 87,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,465.70 : 287,228.94 = 58,315.08 : x
  2. Step 2: Convert to fraction form
    191,465.70/287,228.94 = 58,315.08/x
  3. Step 3: Cross multiply
    191,465.70x = 287,228.94 × 58,315.08
  4. Step 4: Simplify right side
    191,465.70x = 16,749,778,614.42
  5. Step 5: Solve for x
    x = 16,749,778,614.42/191,465.70
  6. Step 6: Final answer
    x = 87,481.88

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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.