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Finding the Fourth Proportional to 77,584.34, 107,078.55 and 45,756.74

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Solution

The fourth proportional to 77,584.34, 107,078.55 and 45,756.74 is: 63,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584.34 : 107,078.55 = 45,756.74 : x
  2. Step 2: Convert to fraction form
    77,584.34/107,078.55 = 45,756.74/x
  3. Step 3: Cross multiply
    77,584.34x = 107,078.55 × 45,756.74
  4. Step 4: Simplify right side
    77,584.34x = 4,899,565,371.93
  5. Step 5: Solve for x
    x = 4,899,565,371.93/77,584.34
  6. Step 6: Final answer
    x = 63,151.47

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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.