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Finding the Fourth Proportional to 126,121, 174,048.16 and 69,534.40

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Solution

The fourth proportional to 126,121, 174,048.16 and 69,534.40 is: 95,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,121 : 174,048.16 = 69,534.40 : x
  2. Step 2: Convert to fraction form
    126,121/174,048.16 = 69,534.40/x
  3. Step 3: Cross multiply
    126,121x = 174,048.16 × 69,534.40
  4. Step 4: Simplify right side
    126,121x = 12,102,334,376.70
  5. Step 5: Solve for x
    x = 12,102,334,376.70/126,121
  6. Step 6: Final answer
    x = 95,958.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.