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Finding the Fourth Proportional to 102,072.98, 153,112.91 and 78,416.48

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Solution

The fourth proportional to 102,072.98, 153,112.91 and 78,416.48 is: 117,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,072.98 : 153,112.91 = 78,416.48 : x
  2. Step 2: Convert to fraction form
    102,072.98/153,112.91 = 78,416.48/x
  3. Step 3: Cross multiply
    102,072.98x = 153,112.91 × 78,416.48
  4. Step 4: Simplify right side
    102,072.98x = 12,006,574,287.11
  5. Step 5: Solve for x
    x = 12,006,574,287.11/102,072.98
  6. Step 6: Final answer
    x = 117,627.36

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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.