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Finding the Fourth Proportional to 191,890.02, 287,835.03 and 51,645

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Solution

The fourth proportional to 191,890.02, 287,835.03 and 51,645 is: 77,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,890.02 : 287,835.03 = 51,645 : x
  2. Step 2: Convert to fraction form
    191,890.02/287,835.03 = 51,645/x
  3. Step 3: Cross multiply
    191,890.02x = 287,835.03 × 51,645
  4. Step 4: Simplify right side
    191,890.02x = 14,865,240,124.35
  5. Step 5: Solve for x
    x = 14,865,240,124.35/191,890.02
  6. Step 6: Final answer
    x = 77,467.50

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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.