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Finding the Fourth Proportional to 78,103.68, 107,782.44 and 42,292.80

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Solution

The fourth proportional to 78,103.68, 107,782.44 and 42,292.80 is: 58,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,103.68 : 107,782.44 = 42,292.80 : x
  2. Step 2: Convert to fraction form
    78,103.68/107,782.44 = 42,292.80/x
  3. Step 3: Cross multiply
    78,103.68x = 107,782.44 × 42,292.80
  4. Step 4: Simplify right side
    78,103.68x = 4,558,421,178.43
  5. Step 5: Solve for x
    x = 4,558,421,178.43/78,103.68
  6. Step 6: Final answer
    x = 58,363.72

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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.