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Finding the Fourth Proportional to 191,162.99, 286,724.71 and 64,800

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Solution

The fourth proportional to 191,162.99, 286,724.71 and 64,800 is: 97,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,162.99 : 286,724.71 = 64,800 : x
  2. Step 2: Convert to fraction form
    191,162.99/286,724.71 = 64,800/x
  3. Step 3: Cross multiply
    191,162.99x = 286,724.71 × 64,800
  4. Step 4: Simplify right side
    191,162.99x = 18,579,761,289
  5. Step 5: Solve for x
    x = 18,579,761,289/191,162.99
  6. Step 6: Final answer
    x = 97,193.30

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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.