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Finding the Fourth Proportional to 145,957, 201,420.90 and 78,889

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Solution

The fourth proportional to 145,957, 201,420.90 and 78,889 is: 108,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,957 : 201,420.90 = 78,889 : x
  2. Step 2: Convert to fraction form
    145,957/201,420.90 = 78,889/x
  3. Step 3: Cross multiply
    145,957x = 201,420.90 × 78,889
  4. Step 4: Simplify right side
    145,957x = 15,889,893,380.10
  5. Step 5: Solve for x
    x = 15,889,893,380.10/145,957
  6. Step 6: Final answer
    x = 108,866.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.