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Finding the Fourth Proportional to 115,264, 172,964.06 and 48,699.84

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Solution

The fourth proportional to 115,264, 172,964.06 and 48,699.84 is: 73,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,264 : 172,964.06 = 48,699.84 : x
  2. Step 2: Convert to fraction form
    115,264/172,964.06 = 48,699.84/x
  3. Step 3: Cross multiply
    115,264x = 172,964.06 × 48,699.84
  4. Step 4: Simplify right side
    115,264x = 8,423,322,047.75
  5. Step 5: Solve for x
    x = 8,423,322,047.75/115,264
  6. Step 6: Final answer
    x = 73,078.52

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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.