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Finding the Fourth Proportional to 233,886.64, 322,738.68 and 138,397.36

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Solution

The fourth proportional to 233,886.64, 322,738.68 and 138,397.36 is: 190,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,886.64 : 322,738.68 = 138,397.36 : x
  2. Step 2: Convert to fraction form
    233,886.64/322,738.68 = 138,397.36/x
  3. Step 3: Cross multiply
    233,886.64x = 322,738.68 × 138,397.36
  4. Step 4: Simplify right side
    233,886.64x = 44,666,181,281.88
  5. Step 5: Solve for x
    x = 44,666,181,281.88/233,886.64
  6. Step 6: Final answer
    x = 190,973.63

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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.