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Finding the Fourth Proportional to 65,088, 97,632 and 15,840

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Solution

The fourth proportional to 65,088, 97,632 and 15,840 is: 23,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,088 : 97,632 = 15,840 : x
  2. Step 2: Convert to fraction form
    65,088/97,632 = 15,840/x
  3. Step 3: Cross multiply
    65,088x = 97,632 × 15,840
  4. Step 4: Simplify right side
    65,088x = 1,546,490,880
  5. Step 5: Solve for x
    x = 1,546,490,880/65,088
  6. Step 6: Final answer
    x = 23,760

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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.