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Finding the Fourth Proportional to 131,698.95, 197,468.43 and 51,641

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Solution

The fourth proportional to 131,698.95, 197,468.43 and 51,641 is: 77,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,698.95 : 197,468.43 = 51,641 : x
  2. Step 2: Convert to fraction form
    131,698.95/197,468.43 = 51,641/x
  3. Step 3: Cross multiply
    131,698.95x = 197,468.43 × 51,641
  4. Step 4: Simplify right side
    131,698.95x = 10,197,467,193.63
  5. Step 5: Solve for x
    x = 10,197,467,193.63/131,698.95
  6. Step 6: Final answer
    x = 77,430.13

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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.