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Finding the Fourth Proportional to 145,942.80, 218,855.61 and 71,041.11

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Solution

The fourth proportional to 145,942.80, 218,855.61 and 71,041.11 is: 106,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,942.80 : 218,855.61 = 71,041.11 : x
  2. Step 2: Convert to fraction form
    145,942.80/218,855.61 = 71,041.11/x
  3. Step 3: Cross multiply
    145,942.80x = 218,855.61 × 71,041.11
  4. Step 4: Simplify right side
    145,942.80x = 15,547,745,464.13
  5. Step 5: Solve for x
    x = 15,547,745,464.13/145,942.80
  6. Step 6: Final answer
    x = 106,533.14

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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.