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Finding the Fourth Proportional to 139,013.64, 191,841.72 and 78,580.68

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Solution

The fourth proportional to 139,013.64, 191,841.72 and 78,580.68 is: 108,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,013.64 : 191,841.72 = 78,580.68 : x
  2. Step 2: Convert to fraction form
    139,013.64/191,841.72 = 78,580.68/x
  3. Step 3: Cross multiply
    139,013.64x = 191,841.72 × 78,580.68
  4. Step 4: Simplify right side
    139,013.64x = 15,075,052,809.97
  5. Step 5: Solve for x
    x = 15,075,052,809.97/139,013.64
  6. Step 6: Final answer
    x = 108,442.98

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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.