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Finding the Fourth Proportional to 53,838, 74,301.26 and 29,970

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Solution

The fourth proportional to 53,838, 74,301.26 and 29,970 is: 41,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838 : 74,301.26 = 29,970 : x
  2. Step 2: Convert to fraction form
    53,838/74,301.26 = 29,970/x
  3. Step 3: Cross multiply
    53,838x = 74,301.26 × 29,970
  4. Step 4: Simplify right side
    53,838x = 2,226,808,762.20
  5. Step 5: Solve for x
    x = 2,226,808,762.20/53,838
  6. Step 6: Final answer
    x = 41,361.28

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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.