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Finding the Fourth Proportional to 126,503.70, 174,655.62 and 78,827.10

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Solution

The fourth proportional to 126,503.70, 174,655.62 and 78,827.10 is: 108,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,503.70 : 174,655.62 = 78,827.10 : x
  2. Step 2: Convert to fraction form
    126,503.70/174,655.62 = 78,827.10/x
  3. Step 3: Cross multiply
    126,503.70x = 174,655.62 × 78,827.10
  4. Step 4: Simplify right side
    126,503.70x = 13,767,596,023.30
  5. Step 5: Solve for x
    x = 13,767,596,023.30/126,503.70
  6. Step 6: Final answer
    x = 108,831.57

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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.