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Finding the Fourth Proportional to 155,681.81, 214,766.32 and 149,646.29

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Solution

The fourth proportional to 155,681.81, 214,766.32 and 149,646.29 is: 206,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,681.81 : 214,766.32 = 149,646.29 : x
  2. Step 2: Convert to fraction form
    155,681.81/214,766.32 = 149,646.29/x
  3. Step 3: Cross multiply
    155,681.81x = 214,766.32 × 149,646.29
  4. Step 4: Simplify right side
    155,681.81x = 32,138,983,004.95
  5. Step 5: Solve for x
    x = 32,138,983,004.95/155,681.81
  6. Step 6: Final answer
    x = 206,440.19

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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.