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Finding the Fourth Proportional to 78,044.81, 107,701.08 and 42,234.09

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Solution

The fourth proportional to 78,044.81, 107,701.08 and 42,234.09 is: 58,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,044.81 : 107,701.08 = 42,234.09 : x
  2. Step 2: Convert to fraction form
    78,044.81/107,701.08 = 42,234.09/x
  3. Step 3: Cross multiply
    78,044.81x = 107,701.08 × 42,234.09
  4. Step 4: Simplify right side
    78,044.81x = 4,548,657,105.82
  5. Step 5: Solve for x
    x = 4,548,657,105.82/78,044.81
  6. Step 6: Final answer
    x = 58,282.64

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1.5x scale

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.