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Finding the Fourth Proportional to 77,777.82, 107,341.44 and 47,583.24

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Solution

The fourth proportional to 77,777.82, 107,341.44 and 47,583.24 is: 65,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,777.82 : 107,341.44 = 47,583.24 : x
  2. Step 2: Convert to fraction form
    77,777.82/107,341.44 = 47,583.24/x
  3. Step 3: Cross multiply
    77,777.82x = 107,341.44 × 47,583.24
  4. Step 4: Simplify right side
    77,777.82x = 5,107,653,501.47
  5. Step 5: Solve for x
    x = 5,107,653,501.47/77,777.82
  6. Step 6: Final answer
    x = 65,669.80

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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.