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Finding the Fourth Proportional to 65,099.19, 97,656 and 20,715.66

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Solution

The fourth proportional to 65,099.19, 97,656 and 20,715.66 is: 31,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,099.19 : 97,656 = 20,715.66 : x
  2. Step 2: Convert to fraction form
    65,099.19/97,656 = 20,715.66/x
  3. Step 3: Cross multiply
    65,099.19x = 97,656 × 20,715.66
  4. Step 4: Simplify right side
    65,099.19x = 2,023,008,492.96
  5. Step 5: Solve for x
    x = 2,023,008,492.96/65,099.19
  6. Step 6: Final answer
    x = 31,075.79

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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.