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Finding the Fourth Proportional to 191,483.88, 287,225.64 and 51,238.80

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Solution

The fourth proportional to 191,483.88, 287,225.64 and 51,238.80 is: 76,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,483.88 : 287,225.64 = 51,238.80 : x
  2. Step 2: Convert to fraction form
    191,483.88/287,225.64 = 51,238.80/x
  3. Step 3: Cross multiply
    191,483.88x = 287,225.64 × 51,238.80
  4. Step 4: Simplify right side
    191,483.88x = 14,717,097,122.83
  5. Step 5: Solve for x
    x = 14,717,097,122.83/191,483.88
  6. Step 6: Final answer
    x = 76,858.15

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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.