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Finding the Fourth Proportional to 86,976, 130,464 and 21,312

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Solution

The fourth proportional to 86,976, 130,464 and 21,312 is: 31,968

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,976 : 130,464 = 21,312 : x
  2. Step 2: Convert to fraction form
    86,976/130,464 = 21,312/x
  3. Step 3: Cross multiply
    86,976x = 130,464 × 21,312
  4. Step 4: Simplify right side
    86,976x = 2,780,448,768
  5. Step 5: Solve for x
    x = 2,780,448,768/86,976
  6. Step 6: Final answer
    x = 31,968

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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.