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Finding the Fourth Proportional to 77,201.52, 105,565.27 and 77,201.52

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Solution

The fourth proportional to 77,201.52, 105,565.27 and 77,201.52 is: 105,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,201.52 : 105,565.27 = 77,201.52 : x
  2. Step 2: Convert to fraction form
    77,201.52/105,565.27 = 77,201.52/x
  3. Step 3: Cross multiply
    77,201.52x = 105,565.27 × 77,201.52
  4. Step 4: Simplify right side
    77,201.52x = 8,149,799,303.21
  5. Step 5: Solve for x
    x = 8,149,799,303.21/77,201.52
  6. Step 6: Final answer
    x = 105,565.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.