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Finding the Fourth Proportional to 229,805.89, 317,002.60 and 137,901.40

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Solution

The fourth proportional to 229,805.89, 317,002.60 and 137,901.40 is: 190,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,805.89 : 317,002.60 = 137,901.40 : x
  2. Step 2: Convert to fraction form
    229,805.89/317,002.60 = 137,901.40/x
  3. Step 3: Cross multiply
    229,805.89x = 317,002.60 × 137,901.40
  4. Step 4: Simplify right side
    229,805.89x = 43,715,102,343.64
  5. Step 5: Solve for x
    x = 43,715,102,343.64/229,805.89
  6. Step 6: Final answer
    x = 190,226.21

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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.