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Finding the Fourth Proportional to 218,818.50, 301,969.53 and 118,216.50

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Solution

The fourth proportional to 218,818.50, 301,969.53 and 118,216.50 is: 163,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,818.50 : 301,969.53 = 118,216.50 : x
  2. Step 2: Convert to fraction form
    218,818.50/301,969.53 = 118,216.50/x
  3. Step 3: Cross multiply
    218,818.50x = 301,969.53 × 118,216.50
  4. Step 4: Simplify right side
    218,818.50x = 35,697,780,943.25
  5. Step 5: Solve for x
    x = 35,697,780,943.25/218,818.50
  6. Step 6: Final answer
    x = 163,138.77

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1.5x scale

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.