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Finding the Fourth Proportional to 78,128.47, 117,192.77 and 18,964.20

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Solution

The fourth proportional to 78,128.47, 117,192.77 and 18,964.20 is: 28,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128.47 : 117,192.77 = 18,964.20 : x
  2. Step 2: Convert to fraction form
    78,128.47/117,192.77 = 18,964.20/x
  3. Step 3: Cross multiply
    78,128.47x = 117,192.77 × 18,964.20
  4. Step 4: Simplify right side
    78,128.47x = 2,222,467,128.83
  5. Step 5: Solve for x
    x = 2,222,467,128.83/78,128.47
  6. Step 6: Final answer
    x = 28,446.32

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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.