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Finding the Fourth Proportional to 134,980.80, 202,653.60 and 78,878.40

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Solution

The fourth proportional to 134,980.80, 202,653.60 and 78,878.40 is: 118,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,980.80 : 202,653.60 = 78,878.40 : x
  2. Step 2: Convert to fraction form
    134,980.80/202,653.60 = 78,878.40/x
  3. Step 3: Cross multiply
    134,980.80x = 202,653.60 × 78,878.40
  4. Step 4: Simplify right side
    134,980.80x = 15,984,991,722.24
  5. Step 5: Solve for x
    x = 15,984,991,722.24/134,980.80
  6. Step 6: Final answer
    x = 118,424.19

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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.