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Finding the Fourth Proportional to 77,190.94, 106,489.68 and 45,345.47

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Solution

The fourth proportional to 77,190.94, 106,489.68 and 45,345.47 is: 62,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,190.94 : 106,489.68 = 45,345.47 : x
  2. Step 2: Convert to fraction form
    77,190.94/106,489.68 = 45,345.47/x
  3. Step 3: Cross multiply
    77,190.94x = 106,489.68 × 45,345.47
  4. Step 4: Simplify right side
    77,190.94x = 4,828,824,589.75
  5. Step 5: Solve for x
    x = 4,828,824,589.75/77,190.94
  6. Step 6: Final answer
    x = 62,556.89

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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.