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Finding the Fourth Proportional to 186,958.59, 257,990.85 and 102,075.45

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Solution

The fourth proportional to 186,958.59, 257,990.85 and 102,075.45 is: 140,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,958.59 : 257,990.85 = 102,075.45 : x
  2. Step 2: Convert to fraction form
    186,958.59/257,990.85 = 102,075.45/x
  3. Step 3: Cross multiply
    186,958.59x = 257,990.85 × 102,075.45
  4. Step 4: Simplify right side
    186,958.59x = 26,334,532,109.63
  5. Step 5: Solve for x
    x = 26,334,532,109.63/186,958.59
  6. Step 6: Final answer
    x = 140,857.57

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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.