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Finding the Fourth Proportional to 213,165.32, 294,167.86 and 117,671.79

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Solution

The fourth proportional to 213,165.32, 294,167.86 and 117,671.79 is: 162,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165.32 : 294,167.86 = 117,671.79 : x
  2. Step 2: Convert to fraction form
    213,165.32/294,167.86 = 117,671.79/x
  3. Step 3: Cross multiply
    213,165.32x = 294,167.86 × 117,671.79
  4. Step 4: Simplify right side
    213,165.32x = 34,615,258,646.67
  5. Step 5: Solve for x
    x = 34,615,258,646.67/213,165.32
  6. Step 6: Final answer
    x = 162,386.91

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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.