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Finding the Fourth Proportional to 86,924.88, 130,308.48 and 31,507.92

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Solution

The fourth proportional to 86,924.88, 130,308.48 and 31,507.92 is: 47,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,924.88 : 130,308.48 = 31,507.92 : x
  2. Step 2: Convert to fraction form
    86,924.88/130,308.48 = 31,507.92/x
  3. Step 3: Cross multiply
    86,924.88x = 130,308.48 × 31,507.92
  4. Step 4: Simplify right side
    86,924.88x = 4,105,749,163.16
  5. Step 5: Solve for x
    x = 4,105,749,163.16/86,924.88
  6. Step 6: Final answer
    x = 47,233.30

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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.