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Finding the Fourth Proportional to 171,146.64, 256,547.43 and 71,361.93

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Solution

The fourth proportional to 171,146.64, 256,547.43 and 71,361.93 is: 106,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,146.64 : 256,547.43 = 71,361.93 : x
  2. Step 2: Convert to fraction form
    171,146.64/256,547.43 = 71,361.93/x
  3. Step 3: Cross multiply
    171,146.64x = 256,547.43 × 71,361.93
  4. Step 4: Simplify right side
    171,146.64x = 18,307,719,741.34
  5. Step 5: Solve for x
    x = 18,307,719,741.34/171,146.64
  6. Step 6: Final answer
    x = 106,970.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.