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Finding the Fourth Proportional to 186,915.50, 257,943.63 and 119,847.50

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Solution

The fourth proportional to 186,915.50, 257,943.63 and 119,847.50 is: 165,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,915.50 : 257,943.63 = 119,847.50 : x
  2. Step 2: Convert to fraction form
    186,915.50/257,943.63 = 119,847.50/x
  3. Step 3: Cross multiply
    186,915.50x = 257,943.63 × 119,847.50
  4. Step 4: Simplify right side
    186,915.50x = 30,913,899,196.43
  5. Step 5: Solve for x
    x = 30,913,899,196.43/186,915.50
  6. Step 6: Final answer
    x = 165,389.70

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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.