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Finding the Fourth Proportional to 186,643.50, 257,568.06 and 119,575.50

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Solution

The fourth proportional to 186,643.50, 257,568.06 and 119,575.50 is: 165,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,643.50 : 257,568.06 = 119,575.50 : x
  2. Step 2: Convert to fraction form
    186,643.50/257,568.06 = 119,575.50/x
  3. Step 3: Cross multiply
    186,643.50x = 257,568.06 × 119,575.50
  4. Step 4: Simplify right side
    186,643.50x = 30,798,829,558.53
  5. Step 5: Solve for x
    x = 30,798,829,558.53/186,643.50
  6. Step 6: Final answer
    x = 165,014.21

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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.