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Finding the Fourth Proportional to 52,503.16, 72,443.10 and 31,289.44

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Solution

The fourth proportional to 52,503.16, 72,443.10 and 31,289.44 is: 43,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.16 : 72,443.10 = 31,289.44 : x
  2. Step 2: Convert to fraction form
    52,503.16/72,443.10 = 31,289.44/x
  3. Step 3: Cross multiply
    52,503.16x = 72,443.10 × 31,289.44
  4. Step 4: Simplify right side
    52,503.16x = 2,266,704,030.86
  5. Step 5: Solve for x
    x = 2,266,704,030.86/52,503.16
  6. Step 6: Final answer
    x = 43,172.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.