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Finding the Fourth Proportional to 186,325.06, 257,129.76 and 101,443

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Solution

The fourth proportional to 186,325.06, 257,129.76 and 101,443 is: 139,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,325.06 : 257,129.76 = 101,443 : x
  2. Step 2: Convert to fraction form
    186,325.06/257,129.76 = 101,443/x
  3. Step 3: Cross multiply
    186,325.06x = 257,129.76 × 101,443
  4. Step 4: Simplify right side
    186,325.06x = 26,084,014,243.68
  5. Step 5: Solve for x
    x = 26,084,014,243.68/186,325.06
  6. Step 6: Final answer
    x = 139,991.98

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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.