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Finding the Fourth Proportional to 53,881.40, 80,822.10 and 51,606.20

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Solution

The fourth proportional to 53,881.40, 80,822.10 and 51,606.20 is: 77,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,881.40 : 80,822.10 = 51,606.20 : x
  2. Step 2: Convert to fraction form
    53,881.40/80,822.10 = 51,606.20/x
  3. Step 3: Cross multiply
    53,881.40x = 80,822.10 × 51,606.20
  4. Step 4: Simplify right side
    53,881.40x = 4,170,921,457.02
  5. Step 5: Solve for x
    x = 4,170,921,457.02/53,881.40
  6. Step 6: Final answer
    x = 77,409.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.