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Finding the Fourth Proportional to 216,646.65, 298,986.90 and 121,153.22

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Solution

The fourth proportional to 216,646.65, 298,986.90 and 121,153.22 is: 167,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,646.65 : 298,986.90 = 121,153.22 : x
  2. Step 2: Convert to fraction form
    216,646.65/298,986.90 = 121,153.22/x
  3. Step 3: Cross multiply
    216,646.65x = 298,986.90 × 121,153.22
  4. Step 4: Simplify right side
    216,646.65x = 36,223,224,844.76
  5. Step 5: Solve for x
    x = 36,223,224,844.76/216,646.65
  6. Step 6: Final answer
    x = 167,199.56

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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.