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Finding the Fourth Proportional to 157,361.81, 217,094.28 and 109,642.83

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Solution

The fourth proportional to 157,361.81, 217,094.28 and 109,642.83 is: 151,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,361.81 : 217,094.28 = 109,642.83 : x
  2. Step 2: Convert to fraction form
    157,361.81/217,094.28 = 109,642.83/x
  3. Step 3: Cross multiply
    157,361.81x = 217,094.28 × 109,642.83
  4. Step 4: Simplify right side
    157,361.81x = 23,802,830,010.75
  5. Step 5: Solve for x
    x = 23,802,830,010.75/157,361.81
  6. Step 6: Final answer
    x = 151,261.80

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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.