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Finding the Fourth Proportional to 74,430, 102,715.20 and 40,896

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Solution

The fourth proportional to 74,430, 102,715.20 and 40,896 is: 56,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,430 : 102,715.20 = 40,896 : x
  2. Step 2: Convert to fraction form
    74,430/102,715.20 = 40,896/x
  3. Step 3: Cross multiply
    74,430x = 102,715.20 × 40,896
  4. Step 4: Simplify right side
    74,430x = 4,200,640,819.20
  5. Step 5: Solve for x
    x = 4,200,640,819.20/74,430
  6. Step 6: Final answer
    x = 56,437.47

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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.