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Finding the Fourth Proportional to 105,988.64, 158,864.54 and 45,947.80

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Solution

The fourth proportional to 105,988.64, 158,864.54 and 45,947.80 is: 68,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,988.64 : 158,864.54 = 45,947.80 : x
  2. Step 2: Convert to fraction form
    105,988.64/158,864.54 = 45,947.80/x
  3. Step 3: Cross multiply
    105,988.64x = 158,864.54 × 45,947.80
  4. Step 4: Simplify right side
    105,988.64x = 7,299,476,111.01
  5. Step 5: Solve for x
    x = 7,299,476,111.01/105,988.64
  6. Step 6: Final answer
    x = 68,870.36

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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.