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Finding the Fourth Proportional to 177,628.40, 266,215.80 and 72,328.40

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Solution

The fourth proportional to 177,628.40, 266,215.80 and 72,328.40 is: 108,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,628.40 : 266,215.80 = 72,328.40 : x
  2. Step 2: Convert to fraction form
    177,628.40/266,215.80 = 72,328.40/x
  3. Step 3: Cross multiply
    177,628.40x = 266,215.80 × 72,328.40
  4. Step 4: Simplify right side
    177,628.40x = 19,254,962,868.72
  5. Step 5: Solve for x
    x = 19,254,962,868.72/177,628.40
  6. Step 6: Final answer
    x = 108,400.25

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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.