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Finding the Fourth Proportional to 145,192, 199,742.88 and 138,971.20

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Solution

The fourth proportional to 145,192, 199,742.88 and 138,971.20 is: 191,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,192 : 199,742.88 = 138,971.20 : x
  2. Step 2: Convert to fraction form
    145,192/199,742.88 = 138,971.20/x
  3. Step 3: Cross multiply
    145,192x = 199,742.88 × 138,971.20
  4. Step 4: Simplify right side
    145,192x = 27,758,507,725.06
  5. Step 5: Solve for x
    x = 27,758,507,725.06/145,192
  6. Step 6: Final answer
    x = 191,184.83

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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.