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Finding the Fourth Proportional to 139,465.83, 192,464.10 and 75,803.76

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Solution

The fourth proportional to 139,465.83, 192,464.10 and 75,803.76 is: 104,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,465.83 : 192,464.10 = 75,803.76 : x
  2. Step 2: Convert to fraction form
    139,465.83/192,464.10 = 75,803.76/x
  3. Step 3: Cross multiply
    139,465.83x = 192,464.10 × 75,803.76
  4. Step 4: Simplify right side
    139,465.83x = 14,589,502,445.02
  5. Step 5: Solve for x
    x = 14,589,502,445.02/139,465.83
  6. Step 6: Final answer
    x = 104,609.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.