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Finding the Fourth Proportional to 153,008.60, 211,147.64 and 85,023.81

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Solution

The fourth proportional to 153,008.60, 211,147.64 and 85,023.81 is: 117,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,008.60 : 211,147.64 = 85,023.81 : x
  2. Step 2: Convert to fraction form
    153,008.60/211,147.64 = 85,023.81/x
  3. Step 3: Cross multiply
    153,008.60x = 211,147.64 × 85,023.81
  4. Step 4: Simplify right side
    153,008.60x = 17,952,576,400.19
  5. Step 5: Solve for x
    x = 17,952,576,400.19/153,008.60
  6. Step 6: Final answer
    x = 117,330.51

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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.