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Finding the Fourth Proportional to 105,221.55, 157,832.31 and 38,632.86

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Solution

The fourth proportional to 105,221.55, 157,832.31 and 38,632.86 is: 57,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,221.55 : 157,832.31 = 38,632.86 : x
  2. Step 2: Convert to fraction form
    105,221.55/157,832.31 = 38,632.86/x
  3. Step 3: Cross multiply
    105,221.55x = 157,832.31 × 38,632.86
  4. Step 4: Simplify right side
    105,221.55x = 6,097,513,535.71
  5. Step 5: Solve for x
    x = 6,097,513,535.71/105,221.55
  6. Step 6: Final answer
    x = 57,949.28

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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.