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Finding the Fourth Proportional to 152,008.40, 209,911.56 and 101,853.20

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Solution

The fourth proportional to 152,008.40, 209,911.56 and 101,853.20 is: 140,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,008.40 : 209,911.56 = 101,853.20 : x
  2. Step 2: Convert to fraction form
    152,008.40/209,911.56 = 101,853.20/x
  3. Step 3: Cross multiply
    152,008.40x = 209,911.56 × 101,853.20
  4. Step 4: Simplify right side
    152,008.40x = 21,380,164,102.99
  5. Step 5: Solve for x
    x = 21,380,164,102.99/152,008.40
  6. Step 6: Final answer
    x = 140,651.20

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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.