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Finding the Fourth Proportional to 53,408, 73,707.36 and 31,056.32

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Solution

The fourth proportional to 53,408, 73,707.36 and 31,056.32 is: 42,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408 : 73,707.36 = 31,056.32 : x
  2. Step 2: Convert to fraction form
    53,408/73,707.36 = 31,056.32/x
  3. Step 3: Cross multiply
    53,408x = 73,707.36 × 31,056.32
  4. Step 4: Simplify right side
    53,408x = 2,289,079,358.52
  5. Step 5: Solve for x
    x = 2,289,079,358.52/53,408
  6. Step 6: Final answer
    x = 42,860.23

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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.