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Finding the Fourth Proportional to 243,490.50, 364,914.99 and 103,075.38

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Solution

The fourth proportional to 243,490.50, 364,914.99 and 103,075.38 is: 154,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,490.50 : 364,914.99 = 103,075.38 : x
  2. Step 2: Convert to fraction form
    243,490.50/364,914.99 = 103,075.38/x
  3. Step 3: Cross multiply
    243,490.50x = 364,914.99 × 103,075.38
  4. Step 4: Simplify right side
    243,490.50x = 37,613,751,261.95
  5. Step 5: Solve for x
    x = 37,613,751,261.95/243,490.50
  6. Step 6: Final answer
    x = 154,477.28

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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.