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Finding the Fourth Proportional to 100,692, 138,960.72 and 55,982.88

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Solution

The fourth proportional to 100,692, 138,960.72 and 55,982.88 is: 77,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,692 : 138,960.72 = 55,982.88 : x
  2. Step 2: Convert to fraction form
    100,692/138,960.72 = 55,982.88/x
  3. Step 3: Cross multiply
    100,692x = 138,960.72 × 55,982.88
  4. Step 4: Simplify right side
    100,692x = 7,779,421,312.47
  5. Step 5: Solve for x
    x = 7,779,421,312.47/100,692
  6. Step 6: Final answer
    x = 77,259.58

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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.