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Finding the Fourth Proportional to 142,697.60, 213,892.80 and 53,916.80

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Solution

The fourth proportional to 142,697.60, 213,892.80 and 53,916.80 is: 80,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,697.60 : 213,892.80 = 53,916.80 : x
  2. Step 2: Convert to fraction form
    142,697.60/213,892.80 = 53,916.80/x
  3. Step 3: Cross multiply
    142,697.60x = 213,892.80 × 53,916.80
  4. Step 4: Simplify right side
    142,697.60x = 11,532,415,319.04
  5. Step 5: Solve for x
    x = 11,532,415,319.04/142,697.60
  6. Step 6: Final answer
    x = 80,817.16

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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.