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Finding the Fourth Proportional to 215,710.74, 297,758.97 and 130,825.98

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Solution

The fourth proportional to 215,710.74, 297,758.97 and 130,825.98 is: 180,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,710.74 : 297,758.97 = 130,825.98 : x
  2. Step 2: Convert to fraction form
    215,710.74/297,758.97 = 130,825.98/x
  3. Step 3: Cross multiply
    215,710.74x = 297,758.97 × 130,825.98
  4. Step 4: Simplify right side
    215,710.74x = 38,954,609,054.04
  5. Step 5: Solve for x
    x = 38,954,609,054.04/215,710.74
  6. Step 6: Final answer
    x = 180,587.25

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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.