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Finding the Fourth Proportional to 208,272.80, 312,224.88 and 97,435.04

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Solution

The fourth proportional to 208,272.80, 312,224.88 and 97,435.04 is: 146,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,272.80 : 312,224.88 = 97,435.04 : x
  2. Step 2: Convert to fraction form
    208,272.80/312,224.88 = 97,435.04/x
  3. Step 3: Cross multiply
    208,272.80x = 312,224.88 × 97,435.04
  4. Step 4: Simplify right side
    208,272.80x = 30,421,643,671.80
  5. Step 5: Solve for x
    x = 30,421,643,671.80/208,272.80
  6. Step 6: Final answer
    x = 146,066.33

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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.