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Finding the Fourth Proportional to 102,002.30, 153,003.45 and 45,820.70

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Solution

The fourth proportional to 102,002.30, 153,003.45 and 45,820.70 is: 68,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.30 : 153,003.45 = 45,820.70 : x
  2. Step 2: Convert to fraction form
    102,002.30/153,003.45 = 45,820.70/x
  3. Step 3: Cross multiply
    102,002.30x = 153,003.45 × 45,820.70
  4. Step 4: Simplify right side
    102,002.30x = 7,010,725,181.42
  5. Step 5: Solve for x
    x = 7,010,725,181.42/102,002.30
  6. Step 6: Final answer
    x = 68,731.05

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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.