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Finding the Fourth Proportional to 122,114.60, 183,192.68 and 42,130.88

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Solution

The fourth proportional to 122,114.60, 183,192.68 and 42,130.88 is: 63,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,114.60 : 183,192.68 = 42,130.88 : x
  2. Step 2: Convert to fraction form
    122,114.60/183,192.68 = 42,130.88/x
  3. Step 3: Cross multiply
    122,114.60x = 183,192.68 × 42,130.88
  4. Step 4: Simplify right side
    122,114.60x = 7,718,067,691.34
  5. Step 5: Solve for x
    x = 7,718,067,691.34/122,114.60
  6. Step 6: Final answer
    x = 63,203.48

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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.