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Finding the Fourth Proportional to 78,575.79, 117,881.99 and 22,416.67

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Solution

The fourth proportional to 78,575.79, 117,881.99 and 22,416.67 is: 33,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,575.79 : 117,881.99 = 22,416.67 : x
  2. Step 2: Convert to fraction form
    78,575.79/117,881.99 = 22,416.67/x
  3. Step 3: Cross multiply
    78,575.79x = 117,881.99 × 22,416.67
  4. Step 4: Simplify right side
    78,575.79x = 2,642,521,668.77
  5. Step 5: Solve for x
    x = 2,642,521,668.77/78,575.79
  6. Step 6: Final answer
    x = 33,630.23

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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.