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Finding the Fourth Proportional to 208,445.76, 312,513.12 and 97,611.84

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Solution

The fourth proportional to 208,445.76, 312,513.12 and 97,611.84 is: 146,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,445.76 : 312,513.12 = 97,611.84 : x
  2. Step 2: Convert to fraction form
    208,445.76/312,513.12 = 97,611.84/x
  3. Step 3: Cross multiply
    208,445.76x = 312,513.12 × 97,611.84
  4. Step 4: Simplify right side
    208,445.76x = 30,504,980,667.34
  5. Step 5: Solve for x
    x = 30,504,980,667.34/208,445.76
  6. Step 6: Final answer
    x = 146,344.93

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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.