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Finding the Fourth Proportional to 52,140, 72,012.60 and 35,343.84

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Solution

The fourth proportional to 52,140, 72,012.60 and 35,343.84 is: 48,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140 : 72,012.60 = 35,343.84 : x
  2. Step 2: Convert to fraction form
    52,140/72,012.60 = 35,343.84/x
  3. Step 3: Cross multiply
    52,140x = 72,012.60 × 35,343.84
  4. Step 4: Simplify right side
    52,140x = 2,545,201,812.38
  5. Step 5: Solve for x
    x = 2,545,201,812.38/52,140
  6. Step 6: Final answer
    x = 48,814.76

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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.