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Finding the Fourth Proportional to 78,198.84, 117,298.29 and 28,277.84

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Solution

The fourth proportional to 78,198.84, 117,298.29 and 28,277.84 is: 42,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.84 : 117,298.29 = 28,277.84 : x
  2. Step 2: Convert to fraction form
    78,198.84/117,298.29 = 28,277.84/x
  3. Step 3: Cross multiply
    78,198.84x = 117,298.29 × 28,277.84
  4. Step 4: Simplify right side
    78,198.84x = 3,316,941,690.40
  5. Step 5: Solve for x
    x = 3,316,941,690.40/78,198.84
  6. Step 6: Final answer
    x = 42,416.76

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1.5x scale

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.