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Finding the Fourth Proportional to 105,786, 145,984.68 and 61,074

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Solution

The fourth proportional to 105,786, 145,984.68 and 61,074 is: 84,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,786 : 145,984.68 = 61,074 : x
  2. Step 2: Convert to fraction form
    105,786/145,984.68 = 61,074/x
  3. Step 3: Cross multiply
    105,786x = 145,984.68 × 61,074
  4. Step 4: Simplify right side
    105,786x = 8,915,868,346.32
  5. Step 5: Solve for x
    x = 8,915,868,346.32/105,786
  6. Step 6: Final answer
    x = 84,282.12

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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.