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Finding the Fourth Proportional to 162,503.70, 243,813.28 and 72,538.26

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Solution

The fourth proportional to 162,503.70, 243,813.28 and 72,538.26 is: 108,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,503.70 : 243,813.28 = 72,538.26 : x
  2. Step 2: Convert to fraction form
    162,503.70/243,813.28 = 72,538.26/x
  3. Step 3: Cross multiply
    162,503.70x = 243,813.28 × 72,538.26
  4. Step 4: Simplify right side
    162,503.70x = 17,685,791,096.09
  5. Step 5: Solve for x
    x = 17,685,791,096.09/162,503.70
  6. Step 6: Final answer
    x = 108,833.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.