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Finding the Fourth Proportional to 91,457.51, 137,157.71 and 54,007.56

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Solution

The fourth proportional to 91,457.51, 137,157.71 and 54,007.56 is: 80,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,457.51 : 137,157.71 = 54,007.56 : x
  2. Step 2: Convert to fraction form
    91,457.51/137,157.71 = 54,007.56/x
  3. Step 3: Cross multiply
    91,457.51x = 137,157.71 × 54,007.56
  4. Step 4: Simplify right side
    91,457.51x = 7,407,552,982.25
  5. Step 5: Solve for x
    x = 7,407,552,982.25/91,457.51
  6. Step 6: Final answer
    x = 80,994.48

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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.