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Finding the Fourth Proportional to 243,281, 335,721.26 and 135,848.04

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Solution

The fourth proportional to 243,281, 335,721.26 and 135,848.04 is: 187,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,281 : 335,721.26 = 135,848.04 : x
  2. Step 2: Convert to fraction form
    243,281/335,721.26 = 135,848.04/x
  3. Step 3: Cross multiply
    243,281x = 335,721.26 × 135,848.04
  4. Step 4: Simplify right side
    243,281x = 45,607,075,157.33
  5. Step 5: Solve for x
    x = 45,607,075,157.33/243,281
  6. Step 6: Final answer
    x = 187,466.65

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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.