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Finding the Fourth Proportional to 146,045.70, 219,068.55 and 138,828.60

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Solution

The fourth proportional to 146,045.70, 219,068.55 and 138,828.60 is: 208,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,045.70 : 219,068.55 = 138,828.60 : x
  2. Step 2: Convert to fraction form
    146,045.70/219,068.55 = 138,828.60/x
  3. Step 3: Cross multiply
    146,045.70x = 219,068.55 × 138,828.60
  4. Step 4: Simplify right side
    146,045.70x = 30,412,980,100.53
  5. Step 5: Solve for x
    x = 30,412,980,100.53/146,045.70
  6. Step 6: Final answer
    x = 208,242.90

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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.