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Finding the Fourth Proportional to 149,580, 206,424.27 and 81,598.10

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Solution

The fourth proportional to 149,580, 206,424.27 and 81,598.10 is: 112,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,580 : 206,424.27 = 81,598.10 : x
  2. Step 2: Convert to fraction form
    149,580/206,424.27 = 81,598.10/x
  3. Step 3: Cross multiply
    149,580x = 206,424.27 × 81,598.10
  4. Step 4: Simplify right side
    149,580x = 16,843,827,193.77
  5. Step 5: Solve for x
    x = 16,843,827,193.77/149,580
  6. Step 6: Final answer
    x = 112,607.48

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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.