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Finding the Fourth Proportional to 381,073.51, 571,111.97 and 156,170.63

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Solution

The fourth proportional to 381,073.51, 571,111.97 and 156,170.63 is: 234,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,073.51 : 571,111.97 = 156,170.63 : x
  2. Step 2: Convert to fraction form
    381,073.51/571,111.97 = 156,170.63/x
  3. Step 3: Cross multiply
    381,073.51x = 571,111.97 × 156,170.63
  4. Step 4: Simplify right side
    381,073.51x = 89,190,916,802.37
  5. Step 5: Solve for x
    x = 89,190,916,802.37/381,073.51
  6. Step 6: Final answer
    x = 234,051.74

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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.