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Finding the Fourth Proportional to 53,985, 74,509.38 and 31,629

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Solution

The fourth proportional to 53,985, 74,509.38 and 31,629 is: 43,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,985 : 74,509.38 = 31,629 : x
  2. Step 2: Convert to fraction form
    53,985/74,509.38 = 31,629/x
  3. Step 3: Cross multiply
    53,985x = 74,509.38 × 31,629
  4. Step 4: Simplify right side
    53,985x = 2,356,657,180.02
  5. Step 5: Solve for x
    x = 2,356,657,180.02/53,985
  6. Step 6: Final answer
    x = 43,653.93

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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.