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Finding the Fourth Proportional to 216,903.36, 299,332 and 121,409.28

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Solution

The fourth proportional to 216,903.36, 299,332 and 121,409.28 is: 167,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,903.36 : 299,332 = 121,409.28 : x
  2. Step 2: Convert to fraction form
    216,903.36/299,332 = 121,409.28/x
  3. Step 3: Cross multiply
    216,903.36x = 299,332 × 121,409.28
  4. Step 4: Simplify right side
    216,903.36x = 36,341,682,600.96
  5. Step 5: Solve for x
    x = 36,341,682,600.96/216,903.36
  6. Step 6: Final answer
    x = 167,547.81

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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.