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Finding the Fourth Proportional to 150,987.84, 208,389.12 and 87,364.32

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Solution

The fourth proportional to 150,987.84, 208,389.12 and 87,364.32 is: 120,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,987.84 : 208,389.12 = 87,364.32 : x
  2. Step 2: Convert to fraction form
    150,987.84/208,389.12 = 87,364.32/x
  3. Step 3: Cross multiply
    150,987.84x = 208,389.12 × 87,364.32
  4. Step 4: Simplify right side
    150,987.84x = 18,205,773,764.20
  5. Step 5: Solve for x
    x = 18,205,773,764.20/150,987.84
  6. Step 6: Final answer
    x = 120,577.75

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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.