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Finding the Fourth Proportional to 205,187.22, 307,889.16 and 145,600.68

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Solution

The fourth proportional to 205,187.22, 307,889.16 and 145,600.68 is: 218,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,187.22 : 307,889.16 = 145,600.68 : x
  2. Step 2: Convert to fraction form
    205,187.22/307,889.16 = 145,600.68/x
  3. Step 3: Cross multiply
    205,187.22x = 307,889.16 × 145,600.68
  4. Step 4: Simplify right side
    205,187.22x = 44,828,871,060.63
  5. Step 5: Solve for x
    x = 44,828,871,060.63/205,187.22
  6. Step 6: Final answer
    x = 218,477.89

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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.