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Finding the Fourth Proportional to 141,030.40, 194,620.48 and 77,368.80

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Solution

The fourth proportional to 141,030.40, 194,620.48 and 77,368.80 is: 106,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,030.40 : 194,620.48 = 77,368.80 : x
  2. Step 2: Convert to fraction form
    141,030.40/194,620.48 = 77,368.80/x
  3. Step 3: Cross multiply
    141,030.40x = 194,620.48 × 77,368.80
  4. Step 4: Simplify right side
    141,030.40x = 15,057,552,993.02
  5. Step 5: Solve for x
    x = 15,057,552,993.02/141,030.40
  6. Step 6: Final answer
    x = 106,768.14

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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.