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Finding the Fourth Proportional to 86,160, 129,240 and 27,792

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Solution

The fourth proportional to 86,160, 129,240 and 27,792 is: 41,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,160 : 129,240 = 27,792 : x
  2. Step 2: Convert to fraction form
    86,160/129,240 = 27,792/x
  3. Step 3: Cross multiply
    86,160x = 129,240 × 27,792
  4. Step 4: Simplify right side
    86,160x = 3,591,838,080
  5. Step 5: Solve for x
    x = 3,591,838,080/86,160
  6. Step 6: Final answer
    x = 41,688

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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.