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Finding the Fourth Proportional to 115,095.09, 158,855.74 and 77,347.47

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Solution

The fourth proportional to 115,095.09, 158,855.74 and 77,347.47 is: 106,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,095.09 : 158,855.74 = 77,347.47 : x
  2. Step 2: Convert to fraction form
    115,095.09/158,855.74 = 77,347.47/x
  3. Step 3: Cross multiply
    115,095.09x = 158,855.74 × 77,347.47
  4. Step 4: Simplify right side
    115,095.09x = 12,287,089,583.98
  5. Step 5: Solve for x
    x = 12,287,089,583.98/115,095.09
  6. Step 6: Final answer
    x = 106,755.98

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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.