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Finding the Fourth Proportional to 66,505.83, 91,746.33 and 45,003.12

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Solution

The fourth proportional to 66,505.83, 91,746.33 and 45,003.12 is: 62,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,505.83 : 91,746.33 = 45,003.12 : x
  2. Step 2: Convert to fraction form
    66,505.83/91,746.33 = 45,003.12/x
  3. Step 3: Cross multiply
    66,505.83x = 91,746.33 × 45,003.12
  4. Step 4: Simplify right side
    66,505.83x = 4,128,871,098.55
  5. Step 5: Solve for x
    x = 4,128,871,098.55/66,505.83
  6. Step 6: Final answer
    x = 62,082.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.