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Finding the Fourth Proportional to 208,016.80, 312,025.20 and 113,538.40

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Solution

The fourth proportional to 208,016.80, 312,025.20 and 113,538.40 is: 170,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,016.80 : 312,025.20 = 113,538.40 : x
  2. Step 2: Convert to fraction form
    208,016.80/312,025.20 = 113,538.40/x
  3. Step 3: Cross multiply
    208,016.80x = 312,025.20 × 113,538.40
  4. Step 4: Simplify right side
    208,016.80x = 35,426,841,967.68
  5. Step 5: Solve for x
    x = 35,426,841,967.68/208,016.80
  6. Step 6: Final answer
    x = 170,307.60

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1.5x scale

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.