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Finding the Fourth Proportional to 96,328.80, 144,838.80 and 81,122.40

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Solution

The fourth proportional to 96,328.80, 144,838.80 and 81,122.40 is: 121,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,328.80 : 144,838.80 = 81,122.40 : x
  2. Step 2: Convert to fraction form
    96,328.80/144,838.80 = 81,122.40/x
  3. Step 3: Cross multiply
    96,328.80x = 144,838.80 × 81,122.40
  4. Step 4: Simplify right side
    96,328.80x = 11,749,671,069.12
  5. Step 5: Solve for x
    x = 11,749,671,069.12/96,328.80
  6. Step 6: Final answer
    x = 121,974.64

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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.