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Finding the Fourth Proportional to 199,677.74, 299,564.28 and 64,741.86

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Solution

The fourth proportional to 199,677.74, 299,564.28 and 64,741.86 is: 97,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,677.74 : 299,564.28 = 64,741.86 : x
  2. Step 2: Convert to fraction form
    199,677.74/299,564.28 = 64,741.86/x
  3. Step 3: Cross multiply
    199,677.74x = 299,564.28 × 64,741.86
  4. Step 4: Simplify right side
    199,677.74x = 19,394,348,676.76
  5. Step 5: Solve for x
    x = 19,394,348,676.76/199,677.74
  6. Step 6: Final answer
    x = 97,128.25

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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.