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Finding the Fourth Proportional to 170,971.20, 256,456.80 and 46,312.20

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Solution

The fourth proportional to 170,971.20, 256,456.80 and 46,312.20 is: 69,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,971.20 : 256,456.80 = 46,312.20 : x
  2. Step 2: Convert to fraction form
    170,971.20/256,456.80 = 46,312.20/x
  3. Step 3: Cross multiply
    170,971.20x = 256,456.80 × 46,312.20
  4. Step 4: Simplify right side
    170,971.20x = 11,877,078,612.96
  5. Step 5: Solve for x
    x = 11,877,078,612.96/170,971.20
  6. Step 6: Final answer
    x = 69,468.30

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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.