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Finding the Fourth Proportional to 133,816.10, 200,724.15 and 102,712.10

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Solution

The fourth proportional to 133,816.10, 200,724.15 and 102,712.10 is: 154,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,816.10 : 200,724.15 = 102,712.10 : x
  2. Step 2: Convert to fraction form
    133,816.10/200,724.15 = 102,712.10/x
  3. Step 3: Cross multiply
    133,816.10x = 200,724.15 × 102,712.10
  4. Step 4: Simplify right side
    133,816.10x = 20,616,798,967.22
  5. Step 5: Solve for x
    x = 20,616,798,967.22/133,816.10
  6. Step 6: Final answer
    x = 154,068.15

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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.