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Finding the Fourth Proportional to 153,036, 211,189.68 and 85,968

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Solution

The fourth proportional to 153,036, 211,189.68 and 85,968 is: 118,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,036 : 211,189.68 = 85,968 : x
  2. Step 2: Convert to fraction form
    153,036/211,189.68 = 85,968/x
  3. Step 3: Cross multiply
    153,036x = 211,189.68 × 85,968
  4. Step 4: Simplify right side
    153,036x = 18,155,554,410.24
  5. Step 5: Solve for x
    x = 18,155,554,410.24/153,036
  6. Step 6: Final answer
    x = 118,635.84

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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.