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Finding the Fourth Proportional to 228,079.08, 342,159.72 and 78,280.68

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Solution

The fourth proportional to 228,079.08, 342,159.72 and 78,280.68 is: 117,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,079.08 : 342,159.72 = 78,280.68 : x
  2. Step 2: Convert to fraction form
    228,079.08/342,159.72 = 78,280.68/x
  3. Step 3: Cross multiply
    228,079.08x = 342,159.72 × 78,280.68
  4. Step 4: Simplify right side
    228,079.08x = 26,784,495,550.21
  5. Step 5: Solve for x
    x = 26,784,495,550.21/228,079.08
  6. Step 6: Final answer
    x = 117,435.13

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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.