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Finding the Fourth Proportional to 138,567.53, 191,224.95 and 84,103.94

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Solution

The fourth proportional to 138,567.53, 191,224.95 and 84,103.94 is: 116,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,567.53 : 191,224.95 = 84,103.94 : x
  2. Step 2: Convert to fraction form
    138,567.53/191,224.95 = 84,103.94/x
  3. Step 3: Cross multiply
    138,567.53x = 191,224.95 × 84,103.94
  4. Step 4: Simplify right side
    138,567.53x = 16,082,772,199.37
  5. Step 5: Solve for x
    x = 16,082,772,199.37/138,567.53
  6. Step 6: Final answer
    x = 116,064.51

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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.