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Finding the Fourth Proportional to 102,256, 141,113.28 and 57,544.96

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Solution

The fourth proportional to 102,256, 141,113.28 and 57,544.96 is: 79,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,256 : 141,113.28 = 57,544.96 : x
  2. Step 2: Convert to fraction form
    102,256/141,113.28 = 57,544.96/x
  3. Step 3: Cross multiply
    102,256x = 141,113.28 × 57,544.96
  4. Step 4: Simplify right side
    102,256x = 8,120,358,053.07
  5. Step 5: Solve for x
    x = 8,120,358,053.07/102,256
  6. Step 6: Final answer
    x = 79,412.04

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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.