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Finding the Fourth Proportional to 102,140.70, 153,209.58 and 45,940.94

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Solution

The fourth proportional to 102,140.70, 153,209.58 and 45,940.94 is: 68,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,140.70 : 153,209.58 = 45,940.94 : x
  2. Step 2: Convert to fraction form
    102,140.70/153,209.58 = 45,940.94/x
  3. Step 3: Cross multiply
    102,140.70x = 153,209.58 × 45,940.94
  4. Step 4: Simplify right side
    102,140.70x = 7,038,592,122.21
  5. Step 5: Solve for x
    x = 7,038,592,122.21/102,140.70
  6. Step 6: Final answer
    x = 68,910.75

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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.