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Finding the Fourth Proportional to 145,964.80, 218,947.20 and 96,101.20

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Solution

The fourth proportional to 145,964.80, 218,947.20 and 96,101.20 is: 144,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,964.80 : 218,947.20 = 96,101.20 : x
  2. Step 2: Convert to fraction form
    145,964.80/218,947.20 = 96,101.20/x
  3. Step 3: Cross multiply
    145,964.80x = 218,947.20 × 96,101.20
  4. Step 4: Simplify right side
    145,964.80x = 21,041,088,656.64
  5. Step 5: Solve for x
    x = 21,041,088,656.64/145,964.80
  6. Step 6: Final answer
    x = 144,151.80

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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.