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Finding the Fourth Proportional to 150,561.65, 207,841.75 and 105,417.11

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Solution

The fourth proportional to 150,561.65, 207,841.75 and 105,417.11 is: 145,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,561.65 : 207,841.75 = 105,417.11 : x
  2. Step 2: Convert to fraction form
    150,561.65/207,841.75 = 105,417.11/x
  3. Step 3: Cross multiply
    150,561.65x = 207,841.75 × 105,417.11
  4. Step 4: Simplify right side
    150,561.65x = 21,910,076,878.40
  5. Step 5: Solve for x
    x = 21,910,076,878.40/150,561.65
  6. Step 6: Final answer
    x = 145,522.29

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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.