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Finding the Fourth Proportional to 153,139, 211,331.82 and 86,071

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Solution

The fourth proportional to 153,139, 211,331.82 and 86,071 is: 118,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,139 : 211,331.82 = 86,071 : x
  2. Step 2: Convert to fraction form
    153,139/211,331.82 = 86,071/x
  3. Step 3: Cross multiply
    153,139x = 211,331.82 × 86,071
  4. Step 4: Simplify right side
    153,139x = 18,189,541,079.22
  5. Step 5: Solve for x
    x = 18,189,541,079.22/153,139
  6. Step 6: Final answer
    x = 118,777.98

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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.