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Finding the Fourth Proportional to 122,001.30, 183,309.15 and 77,649.30

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Solution

The fourth proportional to 122,001.30, 183,309.15 and 77,649.30 is: 116,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,001.30 : 183,309.15 = 77,649.30 : x
  2. Step 2: Convert to fraction form
    122,001.30/183,309.15 = 77,649.30/x
  3. Step 3: Cross multiply
    122,001.30x = 183,309.15 × 77,649.30
  4. Step 4: Simplify right side
    122,001.30x = 14,233,827,181.10
  5. Step 5: Solve for x
    x = 14,233,827,181.10/122,001.30
  6. Step 6: Final answer
    x = 116,669.47

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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.