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Finding the Fourth Proportional to 255,989.59, 384,155.78 and 106,230.02

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Solution

The fourth proportional to 255,989.59, 384,155.78 and 106,230.02 is: 159,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,989.59 : 384,155.78 = 106,230.02 : x
  2. Step 2: Convert to fraction form
    255,989.59/384,155.78 = 106,230.02/x
  3. Step 3: Cross multiply
    255,989.59x = 384,155.78 × 106,230.02
  4. Step 4: Simplify right side
    255,989.59x = 40,808,875,661.37
  5. Step 5: Solve for x
    x = 40,808,875,661.37/255,989.59
  6. Step 6: Final answer
    x = 159,416.16

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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.