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Finding the Fourth Proportional to 109,281.60, 163,922.40 and 35,409.60

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Solution

The fourth proportional to 109,281.60, 163,922.40 and 35,409.60 is: 53,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,281.60 : 163,922.40 = 35,409.60 : x
  2. Step 2: Convert to fraction form
    109,281.60/163,922.40 = 35,409.60/x
  3. Step 3: Cross multiply
    109,281.60x = 163,922.40 × 35,409.60
  4. Step 4: Simplify right side
    109,281.60x = 5,804,426,615.04
  5. Step 5: Solve for x
    x = 5,804,426,615.04/109,281.60
  6. Step 6: Final answer
    x = 53,114.40

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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.