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Finding the Fourth Proportional to 210,707.88, 290,787.68 and 115,213.56

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Solution

The fourth proportional to 210,707.88, 290,787.68 and 115,213.56 is: 159,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,707.88 : 290,787.68 = 115,213.56 : x
  2. Step 2: Convert to fraction form
    210,707.88/290,787.68 = 115,213.56/x
  3. Step 3: Cross multiply
    210,707.88x = 290,787.68 × 115,213.56
  4. Step 4: Simplify right side
    210,707.88x = 33,502,683,816.94
  5. Step 5: Solve for x
    x = 33,502,683,816.94/210,707.88
  6. Step 6: Final answer
    x = 159,000.62

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1.5x scale

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.