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Finding the Fourth Proportional to 53,128.52, 73,316.80 and 31,633

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Solution

The fourth proportional to 53,128.52, 73,316.80 and 31,633 is: 43,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,128.52 : 73,316.80 = 31,633 : x
  2. Step 2: Convert to fraction form
    53,128.52/73,316.80 = 31,633/x
  3. Step 3: Cross multiply
    53,128.52x = 73,316.80 × 31,633
  4. Step 4: Simplify right side
    53,128.52x = 2,319,230,334.40
  5. Step 5: Solve for x
    x = 2,319,230,334.40/53,128.52
  6. Step 6: Final answer
    x = 43,653.21

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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.