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Finding the Fourth Proportional to 78,955.74, 109,029.78 and 73,444.50

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Solution

The fourth proportional to 78,955.74, 109,029.78 and 73,444.50 is: 101,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,955.74 : 109,029.78 = 73,444.50 : x
  2. Step 2: Convert to fraction form
    78,955.74/109,029.78 = 73,444.50/x
  3. Step 3: Cross multiply
    78,955.74x = 109,029.78 × 73,444.50
  4. Step 4: Simplify right side
    78,955.74x = 8,007,637,677.21
  5. Step 5: Solve for x
    x = 8,007,637,677.21/78,955.74
  6. Step 6: Final answer
    x = 101,419.32

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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.