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Finding the Fourth Proportional to 105,076.37, 157,403.99 and 99,557.21

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Solution

The fourth proportional to 105,076.37, 157,403.99 and 99,557.21 is: 149,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,076.37 : 157,403.99 = 99,557.21 : x
  2. Step 2: Convert to fraction form
    105,076.37/157,403.99 = 99,557.21/x
  3. Step 3: Cross multiply
    105,076.37x = 157,403.99 × 99,557.21
  4. Step 4: Simplify right side
    105,076.37x = 15,670,702,087.27
  5. Step 5: Solve for x
    x = 15,670,702,087.27/105,076.37
  6. Step 6: Final answer
    x = 149,136.31

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1.5x scale

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.