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Finding the Fourth Proportional to 137,850.85, 206,502.90 and 121,411.90

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Solution

The fourth proportional to 137,850.85, 206,502.90 and 121,411.90 is: 181,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,850.85 : 206,502.90 = 121,411.90 : x
  2. Step 2: Convert to fraction form
    137,850.85/206,502.90 = 121,411.90/x
  3. Step 3: Cross multiply
    137,850.85x = 206,502.90 × 121,411.90
  4. Step 4: Simplify right side
    137,850.85x = 25,071,909,444.51
  5. Step 5: Solve for x
    x = 25,071,909,444.51/137,850.85
  6. Step 6: Final answer
    x = 181,877.08

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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.