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Finding the Fourth Proportional to 162,406.44, 243,680.86 and 77,078.92

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Solution

The fourth proportional to 162,406.44, 243,680.86 and 77,078.92 is: 115,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,406.44 : 243,680.86 = 77,078.92 : x
  2. Step 2: Convert to fraction form
    162,406.44/243,680.86 = 77,078.92/x
  3. Step 3: Cross multiply
    162,406.44x = 243,680.86 × 77,078.92
  4. Step 4: Simplify right side
    162,406.44x = 18,782,657,513.47
  5. Step 5: Solve for x
    x = 18,782,657,513.47/162,406.44
  6. Step 6: Final answer
    x = 115,652.17

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1.5x scale

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.