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Finding the Fourth Proportional to 157,820.86, 236,731.92 and 39,491.86

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Solution

The fourth proportional to 157,820.86, 236,731.92 and 39,491.86 is: 59,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,820.86 : 236,731.92 = 39,491.86 : x
  2. Step 2: Convert to fraction form
    157,820.86/236,731.92 = 39,491.86/x
  3. Step 3: Cross multiply
    157,820.86x = 236,731.92 × 39,491.86
  4. Step 4: Simplify right side
    157,820.86x = 9,348,983,842.17
  5. Step 5: Solve for x
    x = 9,348,983,842.17/157,820.86
  6. Step 6: Final answer
    x = 59,237.95

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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.