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Finding the Fourth Proportional to 78,210.75, 108,019.94 and 53,016.51

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Solution

The fourth proportional to 78,210.75, 108,019.94 and 53,016.51 is: 73,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210.75 : 108,019.94 = 53,016.51 : x
  2. Step 2: Convert to fraction form
    78,210.75/108,019.94 = 53,016.51/x
  3. Step 3: Cross multiply
    78,210.75x = 108,019.94 × 53,016.51
  4. Step 4: Simplify right side
    78,210.75x = 5,726,839,964.13
  5. Step 5: Solve for x
    x = 5,726,839,964.13/78,210.75
  6. Step 6: Final answer
    x = 73,223.18

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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.