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Finding the Fourth Proportional to 105,802.12, 158,698.86 and 43,471

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Solution

The fourth proportional to 105,802.12, 158,698.86 and 43,471 is: 65,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,802.12 : 158,698.86 = 43,471 : x
  2. Step 2: Convert to fraction form
    105,802.12/158,698.86 = 43,471/x
  3. Step 3: Cross multiply
    105,802.12x = 158,698.86 × 43,471
  4. Step 4: Simplify right side
    105,802.12x = 6,898,798,143.06
  5. Step 5: Solve for x
    x = 6,898,798,143.06/105,802.12
  6. Step 6: Final answer
    x = 65,204.73

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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.