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Finding the Fourth Proportional to 109,457.84, 151,019.16 and 66,974.96

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Solution

The fourth proportional to 109,457.84, 151,019.16 and 66,974.96 is: 92,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,457.84 : 151,019.16 = 66,974.96 : x
  2. Step 2: Convert to fraction form
    109,457.84/151,019.16 = 66,974.96/x
  3. Step 3: Cross multiply
    109,457.84x = 151,019.16 × 66,974.96
  4. Step 4: Simplify right side
    109,457.84x = 10,114,502,200.23
  5. Step 5: Solve for x
    x = 10,114,502,200.23/109,457.84
  6. Step 6: Final answer
    x = 92,405.46

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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.