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Finding the Fourth Proportional to 78,415.77, 108,214.92 and 42,606.48

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Solution

The fourth proportional to 78,415.77, 108,214.92 and 42,606.48 is: 58,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.77 : 108,214.92 = 42,606.48 : x
  2. Step 2: Convert to fraction form
    78,415.77/108,214.92 = 42,606.48/x
  3. Step 3: Cross multiply
    78,415.77x = 108,214.92 × 42,606.48
  4. Step 4: Simplify right side
    78,415.77x = 4,610,656,824.68
  5. Step 5: Solve for x
    x = 4,610,656,824.68/78,415.77
  6. Step 6: Final answer
    x = 58,797.57

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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.