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Finding the Fourth Proportional to 66,137.70, 91,274.58 and 37,457

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Solution

The fourth proportional to 66,137.70, 91,274.58 and 37,457 is: 51,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,137.70 : 91,274.58 = 37,457 : x
  2. Step 2: Convert to fraction form
    66,137.70/91,274.58 = 37,457/x
  3. Step 3: Cross multiply
    66,137.70x = 91,274.58 × 37,457
  4. Step 4: Simplify right side
    66,137.70x = 3,418,871,943.06
  5. Step 5: Solve for x
    x = 3,418,871,943.06/66,137.70
  6. Step 6: Final answer
    x = 51,693.24

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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.