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Finding the Fourth Proportional to 216,705.76, 325,012.44 and 83,541.76

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Solution

The fourth proportional to 216,705.76, 325,012.44 and 83,541.76 is: 125,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,705.76 : 325,012.44 = 83,541.76 : x
  2. Step 2: Convert to fraction form
    216,705.76/325,012.44 = 83,541.76/x
  3. Step 3: Cross multiply
    216,705.76x = 325,012.44 × 83,541.76
  4. Step 4: Simplify right side
    216,705.76x = 27,152,111,259.49
  5. Step 5: Solve for x
    x = 27,152,111,259.49/216,705.76
  6. Step 6: Final answer
    x = 125,294.83

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1.5x scale

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.