Home / 76,221.61-114,314.04-31,824.30

Finding the Fourth Proportional to 76,221.61, 114,314.04 and 31,824.30

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Solution

The fourth proportional to 76,221.61, 114,314.04 and 31,824.30 is: 47,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,221.61 : 114,314.04 = 31,824.30 : x
  2. Step 2: Convert to fraction form
    76,221.61/114,314.04 = 31,824.30/x
  3. Step 3: Cross multiply
    76,221.61x = 114,314.04 × 31,824.30
  4. Step 4: Simplify right side
    76,221.61x = 3,637,963,677.82
  5. Step 5: Solve for x
    x = 3,637,963,677.82/76,221.61
  6. Step 6: Final answer
    x = 47,728.77

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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.