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Finding the Fourth Proportional to 228,842.74, 315,821.64 and 126,900.16

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Solution

The fourth proportional to 228,842.74, 315,821.64 and 126,900.16 is: 175,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,842.74 : 315,821.64 = 126,900.16 : x
  2. Step 2: Convert to fraction form
    228,842.74/315,821.64 = 126,900.16/x
  3. Step 3: Cross multiply
    228,842.74x = 315,821.64 × 126,900.16
  4. Step 4: Simplify right side
    228,842.74x = 40,077,816,647.46
  5. Step 5: Solve for x
    x = 40,077,816,647.46/228,842.74
  6. Step 6: Final answer
    x = 175,132.57

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1.5x scale

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.