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Finding the Fourth Proportional to 135,057.80, 202,457.10 and 105,055.40

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Solution

The fourth proportional to 135,057.80, 202,457.10 and 105,055.40 is: 157,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,057.80 : 202,457.10 = 105,055.40 : x
  2. Step 2: Convert to fraction form
    135,057.80/202,457.10 = 105,055.40/x
  3. Step 3: Cross multiply
    135,057.80x = 202,457.10 × 105,055.40
  4. Step 4: Simplify right side
    135,057.80x = 21,269,211,623.34
  5. Step 5: Solve for x
    x = 21,269,211,623.34/135,057.80
  6. Step 6: Final answer
    x = 157,482.29

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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.