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Finding the Fourth Proportional to 105,718.50, 145,904.49 and 61,006.50

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Solution

The fourth proportional to 105,718.50, 145,904.49 and 61,006.50 is: 84,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,718.50 : 145,904.49 = 61,006.50 : x
  2. Step 2: Convert to fraction form
    105,718.50/145,904.49 = 61,006.50/x
  3. Step 3: Cross multiply
    105,718.50x = 145,904.49 × 61,006.50
  4. Step 4: Simplify right side
    105,718.50x = 8,901,122,269.19
  5. Step 5: Solve for x
    x = 8,901,122,269.19/105,718.50
  6. Step 6: Final answer
    x = 84,196.45

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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.