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Finding the Fourth Proportional to 123,645.20, 185,424.60 and 64,461.20

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Solution

The fourth proportional to 123,645.20, 185,424.60 and 64,461.20 is: 96,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,645.20 : 185,424.60 = 64,461.20 : x
  2. Step 2: Convert to fraction form
    123,645.20/185,424.60 = 64,461.20/x
  3. Step 3: Cross multiply
    123,645.20x = 185,424.60 × 64,461.20
  4. Step 4: Simplify right side
    123,645.20x = 11,952,692,225.52
  5. Step 5: Solve for x
    x = 11,952,692,225.52/123,645.20
  6. Step 6: Final answer
    x = 96,669.28

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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.