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Finding the Fourth Proportional to 191,697.96, 264,551.28 and 106,815

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Solution

The fourth proportional to 191,697.96, 264,551.28 and 106,815 is: 147,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,697.96 : 264,551.28 = 106,815 : x
  2. Step 2: Convert to fraction form
    191,697.96/264,551.28 = 106,815/x
  3. Step 3: Cross multiply
    191,697.96x = 264,551.28 × 106,815
  4. Step 4: Simplify right side
    191,697.96x = 28,258,044,973.20
  5. Step 5: Solve for x
    x = 28,258,044,973.20/191,697.96
  6. Step 6: Final answer
    x = 147,409.21

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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.