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Finding the Fourth Proportional to 170,630.40, 255,638.40 and 146,054.40

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Solution

The fourth proportional to 170,630.40, 255,638.40 and 146,054.40 is: 218,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,630.40 : 255,638.40 = 146,054.40 : x
  2. Step 2: Convert to fraction form
    170,630.40/255,638.40 = 146,054.40/x
  3. Step 3: Cross multiply
    170,630.40x = 255,638.40 × 146,054.40
  4. Step 4: Simplify right side
    170,630.40x = 37,337,113,128.96
  5. Step 5: Solve for x
    x = 37,337,113,128.96/170,630.40
  6. Step 6: Final answer
    x = 218,818.65

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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.