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Finding the Fourth Proportional to 290,134.90, 434,939.91 and 103,102.66

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Solution

The fourth proportional to 290,134.90, 434,939.91 and 103,102.66 is: 154,560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,134.90 : 434,939.91 = 103,102.66 : x
  2. Step 2: Convert to fraction form
    290,134.90/434,939.91 = 103,102.66/x
  3. Step 3: Cross multiply
    290,134.90x = 434,939.91 × 103,102.66
  4. Step 4: Simplify right side
    290,134.90x = 44,843,461,661.16
  5. Step 5: Solve for x
    x = 44,843,461,661.16/290,134.90
  6. Step 6: Final answer
    x = 154,560.73

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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.