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Finding the Fourth Proportional to 52,145.40, 78,203.70 and 18,859.20

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Solution

The fourth proportional to 52,145.40, 78,203.70 and 18,859.20 is: 28,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.40 : 78,203.70 = 18,859.20 : x
  2. Step 2: Convert to fraction form
    52,145.40/78,203.70 = 18,859.20/x
  3. Step 3: Cross multiply
    52,145.40x = 78,203.70 × 18,859.20
  4. Step 4: Simplify right side
    52,145.40x = 1,474,859,219.04
  5. Step 5: Solve for x
    x = 1,474,859,219.04/52,145.40
  6. Step 6: Final answer
    x = 28,283.59

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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.