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Finding the Fourth Proportional to 65,076.62, 97,642.91 and 20,706.98

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Solution

The fourth proportional to 65,076.62, 97,642.91 and 20,706.98 is: 31,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,076.62 : 97,642.91 = 20,706.98 : x
  2. Step 2: Convert to fraction form
    65,076.62/97,642.91 = 20,706.98/x
  3. Step 3: Cross multiply
    65,076.62x = 97,642.91 × 20,706.98
  4. Step 4: Simplify right side
    65,076.62x = 2,021,889,784.51
  5. Step 5: Solve for x
    x = 2,021,889,784.51/65,076.62
  6. Step 6: Final answer
    x = 31,069.37

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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.