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Finding the Fourth Proportional to 102,597.78, 141,643.83 and 78,207.26

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Solution

The fourth proportional to 102,597.78, 141,643.83 and 78,207.26 is: 107,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,597.78 : 141,643.83 = 78,207.26 : x
  2. Step 2: Convert to fraction form
    102,597.78/141,643.83 = 78,207.26/x
  3. Step 3: Cross multiply
    102,597.78x = 141,643.83 × 78,207.26
  4. Step 4: Simplify right side
    102,597.78x = 11,077,575,131.99
  5. Step 5: Solve for x
    x = 11,077,575,131.99/102,597.78
  6. Step 6: Final answer
    x = 107,970.90

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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.