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Finding the Fourth Proportional to 102,076.98, 153,118.91 and 78,420.48

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Solution

The fourth proportional to 102,076.98, 153,118.91 and 78,420.48 is: 117,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,076.98 : 153,118.91 = 78,420.48 : x
  2. Step 2: Convert to fraction form
    102,076.98/153,118.91 = 78,420.48/x
  3. Step 3: Cross multiply
    102,076.98x = 153,118.91 × 78,420.48
  4. Step 4: Simplify right side
    102,076.98x = 12,007,658,419.28
  5. Step 5: Solve for x
    x = 12,007,658,419.28/102,076.98
  6. Step 6: Final answer
    x = 117,633.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.