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Finding the Fourth Proportional to 153,646.83, 212,033.61 and 85,668.12

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Solution

The fourth proportional to 153,646.83, 212,033.61 and 85,668.12 is: 118,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,646.83 : 212,033.61 = 85,668.12 : x
  2. Step 2: Convert to fraction form
    153,646.83/212,033.61 = 85,668.12/x
  3. Step 3: Cross multiply
    153,646.83x = 212,033.61 × 85,668.12
  4. Step 4: Simplify right side
    153,646.83x = 18,164,520,745.51
  5. Step 5: Solve for x
    x = 18,164,520,745.51/153,646.83
  6. Step 6: Final answer
    x = 118,222.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.