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Finding the Fourth Proportional to 189,369.68, 283,783.76 and 139,055.04

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Solution

The fourth proportional to 189,369.68, 283,783.76 and 139,055.04 is: 208,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,369.68 : 283,783.76 = 139,055.04 : x
  2. Step 2: Convert to fraction form
    189,369.68/283,783.76 = 139,055.04/x
  3. Step 3: Cross multiply
    189,369.68x = 283,783.76 × 139,055.04
  4. Step 4: Simplify right side
    189,369.68x = 39,461,562,098.15
  5. Step 5: Solve for x
    x = 39,461,562,098.15/189,369.68
  6. Step 6: Final answer
    x = 208,383.74

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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.