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Finding the Fourth Proportional to 205,527.96, 308,341.32 and 70,590

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Solution

The fourth proportional to 205,527.96, 308,341.32 and 70,590 is: 105,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,527.96 : 308,341.32 = 70,590 : x
  2. Step 2: Convert to fraction form
    205,527.96/308,341.32 = 70,590/x
  3. Step 3: Cross multiply
    205,527.96x = 308,341.32 × 70,590
  4. Step 4: Simplify right side
    205,527.96x = 21,765,813,778.80
  5. Step 5: Solve for x
    x = 21,765,813,778.80/205,527.96
  6. Step 6: Final answer
    x = 105,901.96

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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.