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Finding the Fourth Proportional to 74,364, 102,624.78 and 40,830

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Solution

The fourth proportional to 74,364, 102,624.78 and 40,830 is: 56,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,364 : 102,624.78 = 40,830 : x
  2. Step 2: Convert to fraction form
    74,364/102,624.78 = 40,830/x
  3. Step 3: Cross multiply
    74,364x = 102,624.78 × 40,830
  4. Step 4: Simplify right side
    74,364x = 4,190,169,767.40
  5. Step 5: Solve for x
    x = 4,190,169,767.40/74,364
  6. Step 6: Final answer
    x = 56,346.75

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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.