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Finding the Fourth Proportional to 102,161.65, 140,980.39 and 56,839.72

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Solution

The fourth proportional to 102,161.65, 140,980.39 and 56,839.72 is: 78,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,161.65 : 140,980.39 = 56,839.72 : x
  2. Step 2: Convert to fraction form
    102,161.65/140,980.39 = 56,839.72/x
  3. Step 3: Cross multiply
    102,161.65x = 140,980.39 × 56,839.72
  4. Step 4: Simplify right side
    102,161.65x = 8,013,286,316.59
  5. Step 5: Solve for x
    x = 8,013,286,316.59/102,161.65
  6. Step 6: Final answer
    x = 78,437.32

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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.