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Finding the Fourth Proportional to 208,432.84, 312,707.58 and 83,861.32

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Solution

The fourth proportional to 208,432.84, 312,707.58 and 83,861.32 is: 125,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,432.84 : 312,707.58 = 83,861.32 : x
  2. Step 2: Convert to fraction form
    208,432.84/312,707.58 = 83,861.32/x
  3. Step 3: Cross multiply
    208,432.84x = 312,707.58 × 83,861.32
  4. Step 4: Simplify right side
    208,432.84x = 26,224,070,432.81
  5. Step 5: Solve for x
    x = 26,224,070,432.81/208,432.84
  6. Step 6: Final answer
    x = 125,815.44

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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.