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Finding the Fourth Proportional to 53,356, 73,635.60 and 31,004.32

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Solution

The fourth proportional to 53,356, 73,635.60 and 31,004.32 is: 42,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,356 : 73,635.60 = 31,004.32 : x
  2. Step 2: Convert to fraction form
    53,356/73,635.60 = 31,004.32/x
  3. Step 3: Cross multiply
    53,356x = 73,635.60 × 31,004.32
  4. Step 4: Simplify right side
    53,356x = 2,283,021,705.79
  5. Step 5: Solve for x
    x = 2,283,021,705.79/53,356
  6. Step 6: Final answer
    x = 42,788.47

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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.