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Finding the Fourth Proportional to 66,135.60, 91,262.38 and 37,447

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Solution

The fourth proportional to 66,135.60, 91,262.38 and 37,447 is: 51,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,135.60 : 91,262.38 = 37,447 : x
  2. Step 2: Convert to fraction form
    66,135.60/91,262.38 = 37,447/x
  3. Step 3: Cross multiply
    66,135.60x = 91,262.38 × 37,447
  4. Step 4: Simplify right side
    66,135.60x = 3,417,502,343.86
  5. Step 5: Solve for x
    x = 3,417,502,343.86/66,135.60
  6. Step 6: Final answer
    x = 51,674.17

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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.