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Finding the Fourth Proportional to 115,469, 172,703.14 and 67,970.92

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Solution

The fourth proportional to 115,469, 172,703.14 and 67,970.92 is: 101,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,469 : 172,703.14 = 67,970.92 : x
  2. Step 2: Convert to fraction form
    115,469/172,703.14 = 67,970.92/x
  3. Step 3: Cross multiply
    115,469x = 172,703.14 × 67,970.92
  4. Step 4: Simplify right side
    115,469x = 11,738,791,312.69
  5. Step 5: Solve for x
    x = 11,738,791,312.69/115,469
  6. Step 6: Final answer
    x = 101,661.84

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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.