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Finding the Fourth Proportional to 153,607.14, 211,978.90 and 85,628.43

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Solution

The fourth proportional to 153,607.14, 211,978.90 and 85,628.43 is: 118,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,607.14 : 211,978.90 = 85,628.43 : x
  2. Step 2: Convert to fraction form
    153,607.14/211,978.90 = 85,628.43/x
  3. Step 3: Cross multiply
    153,607.14x = 211,978.90 × 85,628.43
  4. Step 4: Simplify right side
    153,607.14x = 18,151,420,400.13
  5. Step 5: Solve for x
    x = 18,151,420,400.13/153,607.14
  6. Step 6: Final answer
    x = 118,167.82

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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.