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Finding the Fourth Proportional to 191,138.63, 286,702.78 and 47,045.73

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Solution

The fourth proportional to 191,138.63, 286,702.78 and 47,045.73 is: 70,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,138.63 : 286,702.78 = 47,045.73 : x
  2. Step 2: Convert to fraction form
    191,138.63/286,702.78 = 47,045.73/x
  3. Step 3: Cross multiply
    191,138.63x = 286,702.78 × 47,045.73
  4. Step 4: Simplify right side
    191,138.63x = 13,488,141,460.52
  5. Step 5: Solve for x
    x = 13,488,141,460.52/191,138.63
  6. Step 6: Final answer
    x = 70,567.32

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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.