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Finding the Fourth Proportional to 86,679.73, 130,013.11 and 31,275.73

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Solution

The fourth proportional to 86,679.73, 130,013.11 and 31,275.73 is: 46,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,679.73 : 130,013.11 = 31,275.73 : x
  2. Step 2: Convert to fraction form
    86,679.73/130,013.11 = 31,275.73/x
  3. Step 3: Cross multiply
    86,679.73x = 130,013.11 × 31,275.73
  4. Step 4: Simplify right side
    86,679.73x = 4,066,254,924.82
  5. Step 5: Solve for x
    x = 4,066,254,924.82/86,679.73
  6. Step 6: Final answer
    x = 46,911.26

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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.