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Finding the Fourth Proportional to 215,820, 297,835.32 and 120,316.14

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Solution

The fourth proportional to 215,820, 297,835.32 and 120,316.14 is: 166,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,820 : 297,835.32 = 120,316.14 : x
  2. Step 2: Convert to fraction form
    215,820/297,835.32 = 120,316.14/x
  3. Step 3: Cross multiply
    215,820x = 297,835.32 × 120,316.14
  4. Step 4: Simplify right side
    215,820x = 35,834,396,058.06
  5. Step 5: Solve for x
    x = 35,834,396,058.06/215,820
  6. Step 6: Final answer
    x = 166,038.35

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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.