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Finding the Fourth Proportional to 100,699.17, 138,984.98 and 76,783.11

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Solution

The fourth proportional to 100,699.17, 138,984.98 and 76,783.11 is: 105,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,699.17 : 138,984.98 = 76,783.11 : x
  2. Step 2: Convert to fraction form
    100,699.17/138,984.98 = 76,783.11/x
  3. Step 3: Cross multiply
    100,699.17x = 138,984.98 × 76,783.11
  4. Step 4: Simplify right side
    100,699.17x = 10,671,698,623.77
  5. Step 5: Solve for x
    x = 10,671,698,623.77/100,699.17
  6. Step 6: Final answer
    x = 105,976.03

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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.