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Finding the Fourth Proportional to 78,074.42, 107,741.97 and 42,263.51

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Solution

The fourth proportional to 78,074.42, 107,741.97 and 42,263.51 is: 58,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,074.42 : 107,741.97 = 42,263.51 : x
  2. Step 2: Convert to fraction form
    78,074.42/107,741.97 = 42,263.51/x
  3. Step 3: Cross multiply
    78,074.42x = 107,741.97 × 42,263.51
  4. Step 4: Simplify right side
    78,074.42x = 4,553,554,095.87
  5. Step 5: Solve for x
    x = 4,553,554,095.87/78,074.42
  6. Step 6: Final answer
    x = 58,323.25

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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.