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Finding the Fourth Proportional to 102,805.58, 141,952.12 and 78,894.38

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Solution

The fourth proportional to 102,805.58, 141,952.12 and 78,894.38 is: 108,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,805.58 : 141,952.12 = 78,894.38 : x
  2. Step 2: Convert to fraction form
    102,805.58/141,952.12 = 78,894.38/x
  3. Step 3: Cross multiply
    102,805.58x = 141,952.12 × 78,894.38
  4. Step 4: Simplify right side
    102,805.58x = 11,199,224,497.09
  5. Step 5: Solve for x
    x = 11,199,224,497.09/102,805.58
  6. Step 6: Final answer
    x = 108,935.96

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1.5x scale

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.