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Finding the Fourth Proportional to 163,853.61, 245,926.86 and 83,946

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Solution

The fourth proportional to 163,853.61, 245,926.86 and 83,946 is: 125,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,853.61 : 245,926.86 = 83,946 : x
  2. Step 2: Convert to fraction form
    163,853.61/245,926.86 = 83,946/x
  3. Step 3: Cross multiply
    163,853.61x = 245,926.86 × 83,946
  4. Step 4: Simplify right side
    163,853.61x = 20,644,576,189.56
  5. Step 5: Solve for x
    x = 20,644,576,189.56/163,853.61
  6. Step 6: Final answer
    x = 125,994.03

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1.5x scale

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.