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Finding the Fourth Proportional to 153,833.68, 212,309.81 and 89,289.03

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Solution

The fourth proportional to 153,833.68, 212,309.81 and 89,289.03 is: 123,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,833.68 : 212,309.81 = 89,289.03 : x
  2. Step 2: Convert to fraction form
    153,833.68/212,309.81 = 89,289.03/x
  3. Step 3: Cross multiply
    153,833.68x = 212,309.81 × 89,289.03
  4. Step 4: Simplify right side
    153,833.68x = 18,956,937,678.93
  5. Step 5: Solve for x
    x = 18,956,937,678.93/153,833.68
  6. Step 6: Final answer
    x = 123,230.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.