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Finding the Fourth Proportional to 77,641.44, 107,147.52 and 47,431.68

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Solution

The fourth proportional to 77,641.44, 107,147.52 and 47,431.68 is: 65,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,641.44 : 107,147.52 = 47,431.68 : x
  2. Step 2: Convert to fraction form
    77,641.44/107,147.52 = 47,431.68/x
  3. Step 3: Cross multiply
    77,641.44x = 107,147.52 × 47,431.68
  4. Step 4: Simplify right side
    77,641.44x = 5,082,186,881.43
  5. Step 5: Solve for x
    x = 5,082,186,881.43/77,641.44
  6. Step 6: Final answer
    x = 65,457.14

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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.