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Finding the Fourth Proportional to 105,313.86, 157,980.69 and 38,755.26

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Solution

The fourth proportional to 105,313.86, 157,980.69 and 38,755.26 is: 58,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,313.86 : 157,980.69 = 38,755.26 : x
  2. Step 2: Convert to fraction form
    105,313.86/157,980.69 = 38,755.26/x
  3. Step 3: Cross multiply
    105,313.86x = 157,980.69 × 38,755.26
  4. Step 4: Simplify right side
    105,313.86x = 6,122,582,715.93
  5. Step 5: Solve for x
    x = 6,122,582,715.93/105,313.86
  6. Step 6: Final answer
    x = 58,136.53

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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.