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Finding the Fourth Proportional to 105,121.50, 157,705.29 and 39,457.50

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Solution

The fourth proportional to 105,121.50, 157,705.29 and 39,457.50 is: 59,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,121.50 : 157,705.29 = 39,457.50 : x
  2. Step 2: Convert to fraction form
    105,121.50/157,705.29 = 39,457.50/x
  3. Step 3: Cross multiply
    105,121.50x = 157,705.29 × 39,457.50
  4. Step 4: Simplify right side
    105,121.50x = 6,222,656,480.18
  5. Step 5: Solve for x
    x = 6,222,656,480.18/105,121.50
  6. Step 6: Final answer
    x = 59,194.90

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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.