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Finding the Fourth Proportional to 213,009.64, 293,900.88 and 130,202.71

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Solution

The fourth proportional to 213,009.64, 293,900.88 and 130,202.71 is: 179,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,009.64 : 293,900.88 = 130,202.71 : x
  2. Step 2: Convert to fraction form
    213,009.64/293,900.88 = 130,202.71/x
  3. Step 3: Cross multiply
    213,009.64x = 293,900.88 × 130,202.71
  4. Step 4: Simplify right side
    213,009.64x = 38,266,691,047.38
  5. Step 5: Solve for x
    x = 38,266,691,047.38/213,009.64
  6. Step 6: Final answer
    x = 179,647.70

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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.