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Finding the Fourth Proportional to 105,955, 146,237.34 and 61,243

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Solution

The fourth proportional to 105,955, 146,237.34 and 61,243 is: 84,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,955 : 146,237.34 = 61,243 : x
  2. Step 2: Convert to fraction form
    105,955/146,237.34 = 61,243/x
  3. Step 3: Cross multiply
    105,955x = 146,237.34 × 61,243
  4. Step 4: Simplify right side
    105,955x = 8,956,013,413.62
  5. Step 5: Solve for x
    x = 8,956,013,413.62/105,955
  6. Step 6: Final answer
    x = 84,526.58

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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.