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Finding the Fourth Proportional to 130,678.40, 180,376.80 and 103,868.48

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Solution

The fourth proportional to 130,678.40, 180,376.80 and 103,868.48 is: 143,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,678.40 : 180,376.80 = 103,868.48 : x
  2. Step 2: Convert to fraction form
    130,678.40/180,376.80 = 103,868.48/x
  3. Step 3: Cross multiply
    130,678.40x = 180,376.80 × 103,868.48
  4. Step 4: Simplify right side
    130,678.40x = 18,735,464,043.26
  5. Step 5: Solve for x
    x = 18,735,464,043.26/130,678.40
  6. Step 6: Final answer
    x = 143,370.78

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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.