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Finding the Fourth Proportional to 78,270.71, 117,405.65 and 19,106.69

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Solution

The fourth proportional to 78,270.71, 117,405.65 and 19,106.69 is: 28,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,270.71 : 117,405.65 = 19,106.69 : x
  2. Step 2: Convert to fraction form
    78,270.71/117,405.65 = 19,106.69/x
  3. Step 3: Cross multiply
    78,270.71x = 117,405.65 × 19,106.69
  4. Step 4: Simplify right side
    78,270.71x = 2,243,232,819.54
  5. Step 5: Solve for x
    x = 2,243,232,819.54/78,270.71
  6. Step 6: Final answer
    x = 28,659.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.