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Finding the Fourth Proportional to 162,955.42, 243,318.32 and 145,978.84

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Solution

The fourth proportional to 162,955.42, 243,318.32 and 145,978.84 is: 217,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,955.42 : 243,318.32 = 145,978.84 : x
  2. Step 2: Convert to fraction form
    162,955.42/243,318.32 = 145,978.84/x
  3. Step 3: Cross multiply
    162,955.42x = 243,318.32 × 145,978.84
  4. Step 4: Simplify right side
    162,955.42x = 35,519,326,104.35
  5. Step 5: Solve for x
    x = 35,519,326,104.35/162,955.42
  6. Step 6: Final answer
    x = 217,969.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.