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Finding the Fourth Proportional to 153,894.57, 230,830.32 and 54,055.65

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Solution

The fourth proportional to 153,894.57, 230,830.32 and 54,055.65 is: 81,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,894.57 : 230,830.32 = 54,055.65 : x
  2. Step 2: Convert to fraction form
    153,894.57/230,830.32 = 54,055.65/x
  3. Step 3: Cross multiply
    153,894.57x = 230,830.32 × 54,055.65
  4. Step 4: Simplify right side
    153,894.57x = 12,477,682,987.31
  5. Step 5: Solve for x
    x = 12,477,682,987.31/153,894.57
  6. Step 6: Final answer
    x = 81,079.42

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1.5x scale

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.