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Finding the Fourth Proportional to 218,868.21, 302,038.02 and 118,266.21

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Solution

The fourth proportional to 218,868.21, 302,038.02 and 118,266.21 is: 163,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,868.21 : 302,038.02 = 118,266.21 : x
  2. Step 2: Convert to fraction form
    218,868.21/302,038.02 = 118,266.21/x
  3. Step 3: Cross multiply
    218,868.21x = 302,038.02 × 118,266.21
  4. Step 4: Simplify right side
    218,868.21x = 35,720,891,901.30
  5. Step 5: Solve for x
    x = 35,720,891,901.30/218,868.21
  6. Step 6: Final answer
    x = 163,207.31

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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.