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Finding the Fourth Proportional to 77,275.72, 115,913.58 and 35,717.32

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Solution

The fourth proportional to 77,275.72, 115,913.58 and 35,717.32 is: 53,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,275.72 : 115,913.58 = 35,717.32 : x
  2. Step 2: Convert to fraction form
    77,275.72/115,913.58 = 35,717.32/x
  3. Step 3: Cross multiply
    77,275.72x = 115,913.58 × 35,717.32
  4. Step 4: Simplify right side
    77,275.72x = 4,140,122,429.21
  5. Step 5: Solve for x
    x = 4,140,122,429.21/77,275.72
  6. Step 6: Final answer
    x = 53,575.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.