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Finding the Fourth Proportional to 276,047.21, 414,070.86 and 86,507.51

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Solution

The fourth proportional to 276,047.21, 414,070.86 and 86,507.51 is: 129,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,047.21 : 414,070.86 = 86,507.51 : x
  2. Step 2: Convert to fraction form
    276,047.21/414,070.86 = 86,507.51/x
  3. Step 3: Cross multiply
    276,047.21x = 414,070.86 × 86,507.51
  4. Step 4: Simplify right side
    276,047.21x = 35,820,240,421.74
  5. Step 5: Solve for x
    x = 35,820,240,421.74/276,047.21
  6. Step 6: Final answer
    x = 129,761.28

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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.