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Finding the Fourth Proportional to 208,465.64, 312,512.86 and 75,316.20

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Solution

The fourth proportional to 208,465.64, 312,512.86 and 75,316.20 is: 112,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,465.64 : 312,512.86 = 75,316.20 : x
  2. Step 2: Convert to fraction form
    208,465.64/312,512.86 = 75,316.20/x
  3. Step 3: Cross multiply
    208,465.64x = 312,512.86 × 75,316.20
  4. Step 4: Simplify right side
    208,465.64x = 23,537,281,066.33
  5. Step 5: Solve for x
    x = 23,537,281,066.33/208,465.64
  6. Step 6: Final answer
    x = 112,907.24

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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.