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Finding the Fourth Proportional to 138,502.64, 191,154.12 and 102,642.32

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Solution

The fourth proportional to 138,502.64, 191,154.12 and 102,642.32 is: 141,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,502.64 : 191,154.12 = 102,642.32 : x
  2. Step 2: Convert to fraction form
    138,502.64/191,154.12 = 102,642.32/x
  3. Step 3: Cross multiply
    138,502.64x = 191,154.12 × 102,642.32
  4. Step 4: Simplify right side
    138,502.64x = 19,620,502,354.36
  5. Step 5: Solve for x
    x = 19,620,502,354.36/138,502.64
  6. Step 6: Final answer
    x = 141,661.58

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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.