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Finding the Fourth Proportional to 77,478, 106,919.64 and 42,150

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Solution

The fourth proportional to 77,478, 106,919.64 and 42,150 is: 58,167

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,478 : 106,919.64 = 42,150 : x
  2. Step 2: Convert to fraction form
    77,478/106,919.64 = 42,150/x
  3. Step 3: Cross multiply
    77,478x = 106,919.64 × 42,150
  4. Step 4: Simplify right side
    77,478x = 4,506,662,826
  5. Step 5: Solve for x
    x = 4,506,662,826/77,478
  6. Step 6: Final answer
    x = 58,167

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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.