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Finding the Fourth Proportional to 77,953.56, 107,576.90 and 47,317.80

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Solution

The fourth proportional to 77,953.56, 107,576.90 and 47,317.80 is: 65,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,953.56 : 107,576.90 = 47,317.80 : x
  2. Step 2: Convert to fraction form
    77,953.56/107,576.90 = 47,317.80/x
  3. Step 3: Cross multiply
    77,953.56x = 107,576.90 × 47,317.80
  4. Step 4: Simplify right side
    77,953.56x = 5,090,302,002.23
  5. Step 5: Solve for x
    x = 5,090,302,002.23/77,953.56
  6. Step 6: Final answer
    x = 65,299.16

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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.