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Finding the Fourth Proportional to 106,649.44, 147,156.96 and 61,316.80

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Solution

The fourth proportional to 106,649.44, 147,156.96 and 61,316.80 is: 84,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,649.44 : 147,156.96 = 61,316.80 : x
  2. Step 2: Convert to fraction form
    106,649.44/147,156.96 = 61,316.80/x
  3. Step 3: Cross multiply
    106,649.44x = 147,156.96 × 61,316.80
  4. Step 4: Simplify right side
    106,649.44x = 9,023,193,884.93
  5. Step 5: Solve for x
    x = 9,023,193,884.93/106,649.44
  6. Step 6: Final answer
    x = 84,606.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.