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Finding the Fourth Proportional to 105,221, 157,900.62 and 39,557

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Solution

The fourth proportional to 105,221, 157,900.62 and 39,557 is: 59,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,221 : 157,900.62 = 39,557 : x
  2. Step 2: Convert to fraction form
    105,221/157,900.62 = 39,557/x
  3. Step 3: Cross multiply
    105,221x = 157,900.62 × 39,557
  4. Step 4: Simplify right side
    105,221x = 6,246,074,825.34
  5. Step 5: Solve for x
    x = 6,246,074,825.34/105,221
  6. Step 6: Final answer
    x = 59,361.49

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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.