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Finding the Fourth Proportional to 74,502, 102,836.88 and 47,716.68

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Solution

The fourth proportional to 74,502, 102,836.88 and 47,716.68 is: 65,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,502 : 102,836.88 = 47,716.68 : x
  2. Step 2: Convert to fraction form
    74,502/102,836.88 = 47,716.68/x
  3. Step 3: Cross multiply
    74,502x = 102,836.88 × 47,716.68
  4. Step 4: Simplify right side
    74,502x = 4,907,034,495.16
  5. Step 5: Solve for x
    x = 4,907,034,495.16/74,502
  6. Step 6: Final answer
    x = 65,864.47

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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.