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Finding the Fourth Proportional to 238,429.20, 357,643.80 and 105,240.90

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Solution

The fourth proportional to 238,429.20, 357,643.80 and 105,240.90 is: 157,861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,429.20 : 357,643.80 = 105,240.90 : x
  2. Step 2: Convert to fraction form
    238,429.20/357,643.80 = 105,240.90/x
  3. Step 3: Cross multiply
    238,429.20x = 357,643.80 × 105,240.90
  4. Step 4: Simplify right side
    238,429.20x = 37,638,755,391.42
  5. Step 5: Solve for x
    x = 37,638,755,391.42/238,429.20
  6. Step 6: Final answer
    x = 157,861.35

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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.