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Finding the Fourth Proportional to 76,838.64, 115,212.24 and 37,356

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Solution

The fourth proportional to 76,838.64, 115,212.24 and 37,356 is: 56,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,838.64 : 115,212.24 = 37,356 : x
  2. Step 2: Convert to fraction form
    76,838.64/115,212.24 = 37,356/x
  3. Step 3: Cross multiply
    76,838.64x = 115,212.24 × 37,356
  4. Step 4: Simplify right side
    76,838.64x = 4,303,868,437.44
  5. Step 5: Solve for x
    x = 4,303,868,437.44/76,838.64
  6. Step 6: Final answer
    x = 56,011.77

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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.