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Finding the Fourth Proportional to 128,984.40, 178,008.03 and 77,999.09

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Solution

The fourth proportional to 128,984.40, 178,008.03 and 77,999.09 is: 107,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,984.40 : 178,008.03 = 77,999.09 : x
  2. Step 2: Convert to fraction form
    128,984.40/178,008.03 = 77,999.09/x
  3. Step 3: Cross multiply
    128,984.40x = 178,008.03 × 77,999.09
  4. Step 4: Simplify right side
    128,984.40x = 13,884,463,462.65
  5. Step 5: Solve for x
    x = 13,884,463,462.65/128,984.40
  6. Step 6: Final answer
    x = 107,644.52

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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.