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Finding the Fourth Proportional to 78,146.71, 117,063.06 and 35,967.85

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Solution

The fourth proportional to 78,146.71, 117,063.06 and 35,967.85 is: 53,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,146.71 : 117,063.06 = 35,967.85 : x
  2. Step 2: Convert to fraction form
    78,146.71/117,063.06 = 35,967.85/x
  3. Step 3: Cross multiply
    78,146.71x = 117,063.06 × 35,967.85
  4. Step 4: Simplify right side
    78,146.71x = 4,210,506,582.62
  5. Step 5: Solve for x
    x = 4,210,506,582.62/78,146.71
  6. Step 6: Final answer
    x = 53,879.51

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1.5x scale

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.