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Finding the Fourth Proportional to 170,395.66, 235,186.05 and 105,913.54

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Solution

The fourth proportional to 170,395.66, 235,186.05 and 105,913.54 is: 146,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,395.66 : 235,186.05 = 105,913.54 : x
  2. Step 2: Convert to fraction form
    170,395.66/235,186.05 = 105,913.54/x
  3. Step 3: Cross multiply
    170,395.66x = 235,186.05 × 105,913.54
  4. Step 4: Simplify right side
    170,395.66x = 24,909,387,114.12
  5. Step 5: Solve for x
    x = 24,909,387,114.12/170,395.66
  6. Step 6: Final answer
    x = 146,185.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.