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Finding the Fourth Proportional to 105,970.60, 158,811.18 and 53,415.64

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Solution

The fourth proportional to 105,970.60, 158,811.18 and 53,415.64 is: 80,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,970.60 : 158,811.18 = 53,415.64 : x
  2. Step 2: Convert to fraction form
    105,970.60/158,811.18 = 53,415.64/x
  3. Step 3: Cross multiply
    105,970.60x = 158,811.18 × 53,415.64
  4. Step 4: Simplify right side
    105,970.60x = 8,483,000,818.86
  5. Step 5: Solve for x
    x = 8,483,000,818.86/105,970.60
  6. Step 6: Final answer
    x = 80,050.51

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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.