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Finding the Fourth Proportional to 208,184.16, 312,319.44 and 83,534.88

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Solution

The fourth proportional to 208,184.16, 312,319.44 and 83,534.88 is: 125,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,184.16 : 312,319.44 = 83,534.88 : x
  2. Step 2: Convert to fraction form
    208,184.16/312,319.44 = 83,534.88/x
  3. Step 3: Cross multiply
    208,184.16x = 312,319.44 × 83,534.88
  4. Step 4: Simplify right side
    208,184.16x = 26,089,566,942.07
  5. Step 5: Solve for x
    x = 26,089,566,942.07/208,184.16
  6. Step 6: Final answer
    x = 125,319.65

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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.