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Finding the Fourth Proportional to 213,415.40, 320,123.10 and 107,127.20

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Solution

The fourth proportional to 213,415.40, 320,123.10 and 107,127.20 is: 160,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,415.40 : 320,123.10 = 107,127.20 : x
  2. Step 2: Convert to fraction form
    213,415.40/320,123.10 = 107,127.20/x
  3. Step 3: Cross multiply
    213,415.40x = 320,123.10 × 107,127.20
  4. Step 4: Simplify right side
    213,415.40x = 34,293,891,358.32
  5. Step 5: Solve for x
    x = 34,293,891,358.32/213,415.40
  6. Step 6: Final answer
    x = 160,690.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.