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Finding the Fourth Proportional to 216,810.09, 325,215.14 and 142,920.81

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Solution

The fourth proportional to 216,810.09, 325,215.14 and 142,920.81 is: 214,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,810.09 : 325,215.14 = 142,920.81 : x
  2. Step 2: Convert to fraction form
    216,810.09/325,215.14 = 142,920.81/x
  3. Step 3: Cross multiply
    216,810.09x = 325,215.14 × 142,920.81
  4. Step 4: Simplify right side
    216,810.09x = 46,480,010,518.46
  5. Step 5: Solve for x
    x = 46,480,010,518.46/216,810.09
  6. Step 6: Final answer
    x = 214,381.22

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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.