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Finding the Fourth Proportional to 213,785.70, 295,019.64 and 116,989.12

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Solution

The fourth proportional to 213,785.70, 295,019.64 and 116,989.12 is: 161,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,785.70 : 295,019.64 = 116,989.12 : x
  2. Step 2: Convert to fraction form
    213,785.70/295,019.64 = 116,989.12/x
  3. Step 3: Cross multiply
    213,785.70x = 295,019.64 × 116,989.12
  4. Step 4: Simplify right side
    213,785.70x = 34,514,088,066.32
  5. Step 5: Solve for x
    x = 34,514,088,066.32/213,785.70
  6. Step 6: Final answer
    x = 161,442.45

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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.