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Finding the Fourth Proportional to 114,944, 172,249.08 and 81,730.76

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Solution

The fourth proportional to 114,944, 172,249.08 and 81,730.76 is: 122,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,944 : 172,249.08 = 81,730.76 : x
  2. Step 2: Convert to fraction form
    114,944/172,249.08 = 81,730.76/x
  3. Step 3: Cross multiply
    114,944x = 172,249.08 × 81,730.76
  4. Step 4: Simplify right side
    114,944x = 14,078,048,217.70
  5. Step 5: Solve for x
    x = 14,078,048,217.70/114,944
  6. Step 6: Final answer
    x = 122,477.45

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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.