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Finding the Fourth Proportional to 153,830.82, 212,382.63 and 117,951.87

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Solution

The fourth proportional to 153,830.82, 212,382.63 and 117,951.87 is: 162,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,830.82 : 212,382.63 = 117,951.87 : x
  2. Step 2: Convert to fraction form
    153,830.82/212,382.63 = 117,951.87/x
  3. Step 3: Cross multiply
    153,830.82x = 212,382.63 × 117,951.87
  4. Step 4: Simplify right side
    153,830.82x = 25,050,928,364.02
  5. Step 5: Solve for x
    x = 25,050,928,364.02/153,830.82
  6. Step 6: Final answer
    x = 162,847.27

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1.5x scale

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.