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Finding the Fourth Proportional to 78,077.74, 107,746.39 and 42,266.97

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Solution

The fourth proportional to 78,077.74, 107,746.39 and 42,266.97 is: 58,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,077.74 : 107,746.39 = 42,266.97 : x
  2. Step 2: Convert to fraction form
    78,077.74/107,746.39 = 42,266.97/x
  3. Step 3: Cross multiply
    78,077.74x = 107,746.39 × 42,266.97
  4. Step 4: Simplify right side
    78,077.74x = 4,554,113,433.74
  5. Step 5: Solve for x
    x = 4,554,113,433.74/78,077.74
  6. Step 6: Final answer
    x = 58,327.94

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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.