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Finding the Fourth Proportional to 78,812.16, 108,726.48 and 51,920.16

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Solution

The fourth proportional to 78,812.16, 108,726.48 and 51,920.16 is: 71,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,812.16 : 108,726.48 = 51,920.16 : x
  2. Step 2: Convert to fraction form
    78,812.16/108,726.48 = 51,920.16/x
  3. Step 3: Cross multiply
    78,812.16x = 108,726.48 × 51,920.16
  4. Step 4: Simplify right side
    78,812.16x = 5,645,096,237.84
  5. Step 5: Solve for x
    x = 5,645,096,237.84/78,812.16
  6. Step 6: Final answer
    x = 71,627.22

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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.