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Finding the Fourth Proportional to 155,778, 214,973.64 and 85,122

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Solution

The fourth proportional to 155,778, 214,973.64 and 85,122 is: 117,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,778 : 214,973.64 = 85,122 : x
  2. Step 2: Convert to fraction form
    155,778/214,973.64 = 85,122/x
  3. Step 3: Cross multiply
    155,778x = 214,973.64 × 85,122
  4. Step 4: Simplify right side
    155,778x = 18,298,986,184.08
  5. Step 5: Solve for x
    x = 18,298,986,184.08/155,778
  6. Step 6: Final answer
    x = 117,468.36

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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.