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Finding the Fourth Proportional to 102,596.52, 141,642.10 and 78,206.01

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Solution

The fourth proportional to 102,596.52, 141,642.10 and 78,206.01 is: 107,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596.52 : 141,642.10 = 78,206.01 : x
  2. Step 2: Convert to fraction form
    102,596.52/141,642.10 = 78,206.01/x
  3. Step 3: Cross multiply
    102,596.52x = 141,642.10 × 78,206.01
  4. Step 4: Simplify right side
    102,596.52x = 11,077,263,489.02
  5. Step 5: Solve for x
    x = 11,077,263,489.02/102,596.52
  6. Step 6: Final answer
    x = 107,969.19

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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.