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Finding the Fourth Proportional to 144,145.92, 216,154.08 and 65,323.20

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Solution

The fourth proportional to 144,145.92, 216,154.08 and 65,323.20 is: 97,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,145.92 : 216,154.08 = 65,323.20 : x
  2. Step 2: Convert to fraction form
    144,145.92/216,154.08 = 65,323.20/x
  3. Step 3: Cross multiply
    144,145.92x = 216,154.08 × 65,323.20
  4. Step 4: Simplify right side
    144,145.92x = 14,119,876,198.66
  5. Step 5: Solve for x
    x = 14,119,876,198.66/144,145.92
  6. Step 6: Final answer
    x = 97,955.43

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1.5x scale

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.