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Finding the Fourth Proportional to 86,724, 130,086 and 31,320

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Solution

The fourth proportional to 86,724, 130,086 and 31,320 is: 46,980

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,724 : 130,086 = 31,320 : x
  2. Step 2: Convert to fraction form
    86,724/130,086 = 31,320/x
  3. Step 3: Cross multiply
    86,724x = 130,086 × 31,320
  4. Step 4: Simplify right side
    86,724x = 4,074,293,520
  5. Step 5: Solve for x
    x = 4,074,293,520/86,724
  6. Step 6: Final answer
    x = 46,980

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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.