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Finding the Fourth Proportional to 10,200.15, 15,300.23 and 10,200.15

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Solution

The fourth proportional to 10,200.15, 15,300.23 and 10,200.15 is: 15,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.15 : 15,300.23 = 10,200.15 : x
  2. Step 2: Convert to fraction form
    10,200.15/15,300.23 = 10,200.15/x
  3. Step 3: Cross multiply
    10,200.15x = 15,300.23 × 10,200.15
  4. Step 4: Simplify right side
    10,200.15x = 156,064,590.03
  5. Step 5: Solve for x
    x = 156,064,590.03/10,200.15
  6. Step 6: Final answer
    x = 15,300.23

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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.