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Finding the Fourth Proportional to 387,982.98, 581,999.06 and 121,754

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Solution

The fourth proportional to 387,982.98, 581,999.06 and 121,754 is: 182,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,982.98 : 581,999.06 = 121,754 : x
  2. Step 2: Convert to fraction form
    387,982.98/581,999.06 = 121,754/x
  3. Step 3: Cross multiply
    387,982.98x = 581,999.06 × 121,754
  4. Step 4: Simplify right side
    387,982.98x = 70,860,713,551.24
  5. Step 5: Solve for x
    x = 70,860,713,551.24/387,982.98
  6. Step 6: Final answer
    x = 182,638.72

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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.