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Finding the Fourth Proportional to 66,465.21, 91,614.54 and 57,829.33

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Solution

The fourth proportional to 66,465.21, 91,614.54 and 57,829.33 is: 79,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,465.21 : 91,614.54 = 57,829.33 : x
  2. Step 2: Convert to fraction form
    66,465.21/91,614.54 = 57,829.33/x
  3. Step 3: Cross multiply
    66,465.21x = 91,614.54 × 57,829.33
  4. Step 4: Simplify right side
    66,465.21x = 5,298,007,466.46
  5. Step 5: Solve for x
    x = 5,298,007,466.46/66,465.21
  6. Step 6: Final answer
    x = 79,710.99

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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.