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Finding the Fourth Proportional to 172,283.40, 257,906.70 and 151,547.40

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Solution

The fourth proportional to 172,283.40, 257,906.70 and 151,547.40 is: 226,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,283.40 : 257,906.70 = 151,547.40 : x
  2. Step 2: Convert to fraction form
    172,283.40/257,906.70 = 151,547.40/x
  3. Step 3: Cross multiply
    172,283.40x = 257,906.70 × 151,547.40
  4. Step 4: Simplify right side
    172,283.40x = 39,085,089,827.58
  5. Step 5: Solve for x
    x = 39,085,089,827.58/172,283.40
  6. Step 6: Final answer
    x = 226,865.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.