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Finding the Fourth Proportional to 78,225.57, 117,342 and 22,821.57

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Solution

The fourth proportional to 78,225.57, 117,342 and 22,821.57 is: 34,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,225.57 : 117,342 = 22,821.57 : x
  2. Step 2: Convert to fraction form
    78,225.57/117,342 = 22,821.57/x
  3. Step 3: Cross multiply
    78,225.57x = 117,342 × 22,821.57
  4. Step 4: Simplify right side
    78,225.57x = 2,677,928,666.94
  5. Step 5: Solve for x
    x = 2,677,928,666.94/78,225.57
  6. Step 6: Final answer
    x = 34,233.42

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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.