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Finding the Fourth Proportional to 153,959.27, 212,271.62 and 117,705.64

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Solution

The fourth proportional to 153,959.27, 212,271.62 and 117,705.64 is: 162,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,959.27 : 212,271.62 = 117,705.64 : x
  2. Step 2: Convert to fraction form
    153,959.27/212,271.62 = 117,705.64/x
  3. Step 3: Cross multiply
    153,959.27x = 212,271.62 × 117,705.64
  4. Step 4: Simplify right side
    153,959.27x = 24,985,566,649.52
  5. Step 5: Solve for x
    x = 24,985,566,649.52/153,959.27
  6. Step 6: Final answer
    x = 162,286.87

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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.