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Finding the Fourth Proportional to 171,828.95, 257,780.50 and 51,875.95

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Solution

The fourth proportional to 171,828.95, 257,780.50 and 51,875.95 is: 77,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,828.95 : 257,780.50 = 51,875.95 : x
  2. Step 2: Convert to fraction form
    171,828.95/257,780.50 = 51,875.95/x
  3. Step 3: Cross multiply
    171,828.95x = 257,780.50 × 51,875.95
  4. Step 4: Simplify right side
    171,828.95x = 13,372,608,458.66
  5. Step 5: Solve for x
    x = 13,372,608,458.66/171,828.95
  6. Step 6: Final answer
    x = 77,825.12

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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.