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Finding the Fourth Proportional to 162,162, 243,078.84 and 77,798.16

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Solution

The fourth proportional to 162,162, 243,078.84 and 77,798.16 is: 116,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,162 : 243,078.84 = 77,798.16 : x
  2. Step 2: Convert to fraction form
    162,162/243,078.84 = 77,798.16/x
  3. Step 3: Cross multiply
    162,162x = 243,078.84 × 77,798.16
  4. Step 4: Simplify right side
    162,162x = 18,911,086,486.93
  5. Step 5: Solve for x
    x = 18,911,086,486.93/162,162
  6. Step 6: Final answer
    x = 116,618.48

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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.