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Finding the Fourth Proportional to 78,015.76, 107,661.45 and 42,205.46

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Solution

The fourth proportional to 78,015.76, 107,661.45 and 42,205.46 is: 58,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.76 : 107,661.45 = 42,205.46 : x
  2. Step 2: Convert to fraction form
    78,015.76/107,661.45 = 42,205.46/x
  3. Step 3: Cross multiply
    78,015.76x = 107,661.45 × 42,205.46
  4. Step 4: Simplify right side
    78,015.76x = 4,543,900,641.48
  5. Step 5: Solve for x
    x = 4,543,900,641.48/78,015.76
  6. Step 6: Final answer
    x = 58,243.37

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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.