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Finding the Fourth Proportional to 102,433.60, 153,650.40 and 100,465.30

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Solution

The fourth proportional to 102,433.60, 153,650.40 and 100,465.30 is: 150,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,433.60 : 153,650.40 = 100,465.30 : x
  2. Step 2: Convert to fraction form
    102,433.60/153,650.40 = 100,465.30/x
  3. Step 3: Cross multiply
    102,433.60x = 153,650.40 × 100,465.30
  4. Step 4: Simplify right side
    102,433.60x = 15,436,533,531.12
  5. Step 5: Solve for x
    x = 15,436,533,531.12/102,433.60
  6. Step 6: Final answer
    x = 150,697.95

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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.