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Finding the Fourth Proportional to 77,697.96, 107,215.71 and 47,513.77

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Solution

The fourth proportional to 77,697.96, 107,215.71 and 47,513.77 is: 65,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,697.96 : 107,215.71 = 47,513.77 : x
  2. Step 2: Convert to fraction form
    77,697.96/107,215.71 = 47,513.77/x
  3. Step 3: Cross multiply
    77,697.96x = 107,215.71 × 47,513.77
  4. Step 4: Simplify right side
    77,697.96x = 5,094,222,699.79
  5. Step 5: Solve for x
    x = 5,094,222,699.79/77,697.96
  6. Step 6: Final answer
    x = 65,564.43

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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.