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Finding the Fourth Proportional to 208,615.40, 312,850.20 and 108,742.40

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Solution

The fourth proportional to 208,615.40, 312,850.20 and 108,742.40 is: 163,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,615.40 : 312,850.20 = 108,742.40 : x
  2. Step 2: Convert to fraction form
    208,615.40/312,850.20 = 108,742.40/x
  3. Step 3: Cross multiply
    208,615.40x = 312,850.20 × 108,742.40
  4. Step 4: Simplify right side
    208,615.40x = 34,020,081,588.48
  5. Step 5: Solve for x
    x = 34,020,081,588.48/208,615.40
  6. Step 6: Final answer
    x = 163,075.60

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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.