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Finding the Fourth Proportional to 65,152.94, 97,736.70 and 20,769.39

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Solution

The fourth proportional to 65,152.94, 97,736.70 and 20,769.39 is: 31,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,152.94 : 97,736.70 = 20,769.39 : x
  2. Step 2: Convert to fraction form
    65,152.94/97,736.70 = 20,769.39/x
  3. Step 3: Cross multiply
    65,152.94x = 97,736.70 × 20,769.39
  4. Step 4: Simplify right side
    65,152.94x = 2,029,931,967.18
  5. Step 5: Solve for x
    x = 2,029,931,967.18/65,152.94
  6. Step 6: Final answer
    x = 31,156.41

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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.