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Finding the Fourth Proportional to 70,331.30, 105,547.79 and 27,643.10

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Solution

The fourth proportional to 70,331.30, 105,547.79 and 27,643.10 is: 41,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,331.30 : 105,547.79 = 27,643.10 : x
  2. Step 2: Convert to fraction form
    70,331.30/105,547.79 = 27,643.10/x
  3. Step 3: Cross multiply
    70,331.30x = 105,547.79 × 27,643.10
  4. Step 4: Simplify right side
    70,331.30x = 2,917,668,113.75
  5. Step 5: Solve for x
    x = 2,917,668,113.75/70,331.30
  6. Step 6: Final answer
    x = 41,484.63

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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.