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Finding the Fourth Proportional to 89,114.60, 122,978.12 and 53,313.04

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Solution

The fourth proportional to 89,114.60, 122,978.12 and 53,313.04 is: 73,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,114.60 : 122,978.12 = 53,313.04 : x
  2. Step 2: Convert to fraction form
    89,114.60/122,978.12 = 53,313.04/x
  3. Step 3: Cross multiply
    89,114.60x = 122,978.12 × 53,313.04
  4. Step 4: Simplify right side
    89,114.60x = 6,556,337,430.68
  5. Step 5: Solve for x
    x = 6,556,337,430.68/89,114.60
  6. Step 6: Final answer
    x = 73,571.98

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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.