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Finding the Fourth Proportional to 76,838.63, 115,277.38 and 21,434.63

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Solution

The fourth proportional to 76,838.63, 115,277.38 and 21,434.63 is: 32,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,838.63 : 115,277.38 = 21,434.63 : x
  2. Step 2: Convert to fraction form
    76,838.63/115,277.38 = 21,434.63/x
  3. Step 3: Cross multiply
    76,838.63x = 115,277.38 × 21,434.63
  4. Step 4: Simplify right side
    76,838.63x = 2,470,927,357.70
  5. Step 5: Solve for x
    x = 2,470,927,357.70/76,838.63
  6. Step 6: Final answer
    x = 32,157.36

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1.5x scale

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.