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Finding the Fourth Proportional to 218,719.68, 301,833.16 and 118,117.68

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Solution

The fourth proportional to 218,719.68, 301,833.16 and 118,117.68 is: 163,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,719.68 : 301,833.16 = 118,117.68 : x
  2. Step 2: Convert to fraction form
    218,719.68/301,833.16 = 118,117.68/x
  3. Step 3: Cross multiply
    218,719.68x = 301,833.16 × 118,117.68
  4. Step 4: Simplify right side
    218,719.68x = 35,651,832,606.27
  5. Step 5: Solve for x
    x = 35,651,832,606.27/218,719.68
  6. Step 6: Final answer
    x = 163,002.40

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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.