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Finding the Fourth Proportional to 73,989, 102,107.34 and 40,457.16

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Solution

The fourth proportional to 73,989, 102,107.34 and 40,457.16 is: 55,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,989 : 102,107.34 = 40,457.16 : x
  2. Step 2: Convert to fraction form
    73,989/102,107.34 = 40,457.16/x
  3. Step 3: Cross multiply
    73,989x = 102,107.34 × 40,457.16
  4. Step 4: Simplify right side
    73,989x = 4,130,972,991.55
  5. Step 5: Solve for x
    x = 4,130,972,991.55/73,989
  6. Step 6: Final answer
    x = 55,832.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.