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Finding the Fourth Proportional to 163,720, 225,933.60 and 93,064

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Solution

The fourth proportional to 163,720, 225,933.60 and 93,064 is: 128,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,720 : 225,933.60 = 93,064 : x
  2. Step 2: Convert to fraction form
    163,720/225,933.60 = 93,064/x
  3. Step 3: Cross multiply
    163,720x = 225,933.60 × 93,064
  4. Step 4: Simplify right side
    163,720x = 21,026,284,550.40
  5. Step 5: Solve for x
    x = 21,026,284,550.40/163,720
  6. Step 6: Final answer
    x = 128,428.32

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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.