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Finding the Fourth Proportional to 100,420.76, 150,447.54 and 47,014.76

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Solution

The fourth proportional to 100,420.76, 150,447.54 and 47,014.76 is: 70,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420.76 : 150,447.54 = 47,014.76 : x
  2. Step 2: Convert to fraction form
    100,420.76/150,447.54 = 47,014.76/x
  3. Step 3: Cross multiply
    100,420.76x = 150,447.54 × 47,014.76
  4. Step 4: Simplify right side
    100,420.76x = 7,073,254,985.69
  5. Step 5: Solve for x
    x = 7,073,254,985.69/100,420.76
  6. Step 6: Final answer
    x = 70,436.18

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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.