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Finding the Fourth Proportional to 122,001.80, 183,309.90 and 77,649.80

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Solution

The fourth proportional to 122,001.80, 183,309.90 and 77,649.80 is: 116,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,001.80 : 183,309.90 = 77,649.80 : x
  2. Step 2: Convert to fraction form
    122,001.80/183,309.90 = 77,649.80/x
  3. Step 3: Cross multiply
    122,001.80x = 183,309.90 × 77,649.80
  4. Step 4: Simplify right side
    122,001.80x = 14,233,977,073.02
  5. Step 5: Solve for x
    x = 14,233,977,073.02/122,001.80
  6. Step 6: Final answer
    x = 116,670.22

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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.