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Finding the Fourth Proportional to 66,465.16, 99,697.90 and 19,718.60

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Solution

The fourth proportional to 66,465.16, 99,697.90 and 19,718.60 is: 29,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,465.16 : 99,697.90 = 19,718.60 : x
  2. Step 2: Convert to fraction form
    66,465.16/99,697.90 = 19,718.60/x
  3. Step 3: Cross multiply
    66,465.16x = 99,697.90 × 19,718.60
  4. Step 4: Simplify right side
    66,465.16x = 1,965,903,010.94
  5. Step 5: Solve for x
    x = 1,965,903,010.94/66,465.16
  6. Step 6: Final answer
    x = 29,577.95

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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.