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Finding the Fourth Proportional to 218,733, 328,099.50 and 70,989

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Solution

The fourth proportional to 218,733, 328,099.50 and 70,989 is: 106,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,733 : 328,099.50 = 70,989 : x
  2. Step 2: Convert to fraction form
    218,733/328,099.50 = 70,989/x
  3. Step 3: Cross multiply
    218,733x = 328,099.50 × 70,989
  4. Step 4: Simplify right side
    218,733x = 23,291,455,405.50
  5. Step 5: Solve for x
    x = 23,291,455,405.50/218,733
  6. Step 6: Final answer
    x = 106,483.50

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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.