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Finding the Fourth Proportional to 212,852.52, 319,210.74 and 72,631.80

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Solution

The fourth proportional to 212,852.52, 319,210.74 and 72,631.80 is: 108,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,852.52 : 319,210.74 = 72,631.80 : x
  2. Step 2: Convert to fraction form
    212,852.52/319,210.74 = 72,631.80/x
  3. Step 3: Cross multiply
    212,852.52x = 319,210.74 × 72,631.80
  4. Step 4: Simplify right side
    212,852.52x = 23,184,850,625.53
  5. Step 5: Solve for x
    x = 23,184,850,625.53/212,852.52
  6. Step 6: Final answer
    x = 108,924.48

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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.