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Finding the Fourth Proportional to 153,701, 212,107.38 and 83,045

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Solution

The fourth proportional to 153,701, 212,107.38 and 83,045 is: 114,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,701 : 212,107.38 = 83,045 : x
  2. Step 2: Convert to fraction form
    153,701/212,107.38 = 83,045/x
  3. Step 3: Cross multiply
    153,701x = 212,107.38 × 83,045
  4. Step 4: Simplify right side
    153,701x = 17,614,457,372.10
  5. Step 5: Solve for x
    x = 17,614,457,372.10/153,701
  6. Step 6: Final answer
    x = 114,602.10

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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.