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Finding the Fourth Proportional to 212,323.36, 318,554.16 and 101,524

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Solution

The fourth proportional to 212,323.36, 318,554.16 and 101,524 is: 152,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,323.36 : 318,554.16 = 101,524 : x
  2. Step 2: Convert to fraction form
    212,323.36/318,554.16 = 101,524/x
  3. Step 3: Cross multiply
    212,323.36x = 318,554.16 × 101,524
  4. Step 4: Simplify right side
    212,323.36x = 32,340,892,539.84
  5. Step 5: Solve for x
    x = 32,340,892,539.84/212,323.36
  6. Step 6: Final answer
    x = 152,319.05

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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.