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Finding the Fourth Proportional to 78,083.66, 107,756.01 and 42,273.77

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Solution

The fourth proportional to 78,083.66, 107,756.01 and 42,273.77 is: 58,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,083.66 : 107,756.01 = 42,273.77 : x
  2. Step 2: Convert to fraction form
    78,083.66/107,756.01 = 42,273.77/x
  3. Step 3: Cross multiply
    78,083.66x = 107,756.01 × 42,273.77
  4. Step 4: Simplify right side
    78,083.66x = 4,555,252,782.86
  5. Step 5: Solve for x
    x = 4,555,252,782.86/78,083.66
  6. Step 6: Final answer
    x = 58,338.11

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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.