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Finding the Fourth Proportional to 170,632.80, 255,946.80 and 77,138.40

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Solution

The fourth proportional to 170,632.80, 255,946.80 and 77,138.40 is: 115,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,632.80 : 255,946.80 = 77,138.40 : x
  2. Step 2: Convert to fraction form
    170,632.80/255,946.80 = 77,138.40/x
  3. Step 3: Cross multiply
    170,632.80x = 255,946.80 × 77,138.40
  4. Step 4: Simplify right side
    170,632.80x = 19,743,326,637.12
  5. Step 5: Solve for x
    x = 19,743,326,637.12/170,632.80
  6. Step 6: Final answer
    x = 115,706.52

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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.