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Finding the Fourth Proportional to 105,081.90, 157,363.65 and 69,830.70

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Solution

The fourth proportional to 105,081.90, 157,363.65 and 69,830.70 is: 104,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,081.90 : 157,363.65 = 69,830.70 : x
  2. Step 2: Convert to fraction form
    105,081.90/157,363.65 = 69,830.70/x
  3. Step 3: Cross multiply
    105,081.90x = 157,363.65 × 69,830.70
  4. Step 4: Simplify right side
    105,081.90x = 10,988,813,834.06
  5. Step 5: Solve for x
    x = 10,988,813,834.06/105,081.90
  6. Step 6: Final answer
    x = 104,573.80

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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.