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Finding the Fourth Proportional to 208,386.84, 312,638.58 and 83,815.32

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Solution

The fourth proportional to 208,386.84, 312,638.58 and 83,815.32 is: 125,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,386.84 : 312,638.58 = 83,815.32 : x
  2. Step 2: Convert to fraction form
    208,386.84/312,638.58 = 83,815.32/x
  3. Step 3: Cross multiply
    208,386.84x = 312,638.58 × 83,815.32
  4. Step 4: Simplify right side
    208,386.84x = 26,203,902,627.05
  5. Step 5: Solve for x
    x = 26,203,902,627.05/208,386.84
  6. Step 6: Final answer
    x = 125,746.44

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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.