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Finding the Fourth Proportional to 84,256, 116,307.20 and 57,425.62

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Solution

The fourth proportional to 84,256, 116,307.20 and 57,425.62 is: 79,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,256 : 116,307.20 = 57,425.62 : x
  2. Step 2: Convert to fraction form
    84,256/116,307.20 = 57,425.62/x
  3. Step 3: Cross multiply
    84,256x = 116,307.20 × 57,425.62
  4. Step 4: Simplify right side
    84,256x = 6,679,013,070.46
  5. Step 5: Solve for x
    x = 6,679,013,070.46/84,256
  6. Step 6: Final answer
    x = 79,270.47

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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.