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Finding the Fourth Proportional to 225,289.80, 310,895.19 and 123,312.87

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Solution

The fourth proportional to 225,289.80, 310,895.19 and 123,312.87 is: 170,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,289.80 : 310,895.19 = 123,312.87 : x
  2. Step 2: Convert to fraction form
    225,289.80/310,895.19 = 123,312.87/x
  3. Step 3: Cross multiply
    225,289.80x = 310,895.19 × 123,312.87
  4. Step 4: Simplify right side
    225,289.80x = 38,337,378,148.10
  5. Step 5: Solve for x
    x = 38,337,378,148.10/225,289.80
  6. Step 6: Final answer
    x = 170,169.17

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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.