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Finding the Fourth Proportional to 74,352, 102,606.72 and 40,819.20

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Solution

The fourth proportional to 74,352, 102,606.72 and 40,819.20 is: 56,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,352 : 102,606.72 = 40,819.20 : x
  2. Step 2: Convert to fraction form
    74,352/102,606.72 = 40,819.20/x
  3. Step 3: Cross multiply
    74,352x = 102,606.72 × 40,819.20
  4. Step 4: Simplify right side
    74,352x = 4,188,324,225.02
  5. Step 5: Solve for x
    x = 4,188,324,225.02/74,352
  6. Step 6: Final answer
    x = 56,331.02

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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.