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Finding the Fourth Proportional to 78,602.84, 117,833.14 and 28,671.24

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Solution

The fourth proportional to 78,602.84, 117,833.14 and 28,671.24 is: 42,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,602.84 : 117,833.14 = 28,671.24 : x
  2. Step 2: Convert to fraction form
    78,602.84/117,833.14 = 28,671.24/x
  3. Step 3: Cross multiply
    78,602.84x = 117,833.14 × 28,671.24
  4. Step 4: Simplify right side
    78,602.84x = 3,378,422,236.89
  5. Step 5: Solve for x
    x = 3,378,422,236.89/78,602.84
  6. Step 6: Final answer
    x = 42,980.92

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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.