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Finding the Fourth Proportional to 103,646.80, 155,275.80 and 96,648.40

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Solution

The fourth proportional to 103,646.80, 155,275.80 and 96,648.40 is: 144,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,646.80 : 155,275.80 = 96,648.40 : x
  2. Step 2: Convert to fraction form
    103,646.80/155,275.80 = 96,648.40/x
  3. Step 3: Cross multiply
    103,646.80x = 155,275.80 × 96,648.40
  4. Step 4: Simplify right side
    103,646.80x = 15,007,157,628.72
  5. Step 5: Solve for x
    x = 15,007,157,628.72/103,646.80
  6. Step 6: Final answer
    x = 144,791.33

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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.