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Finding the Fourth Proportional to 189,762.68, 284,397.08 and 77,311.20

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Solution

The fourth proportional to 189,762.68, 284,397.08 and 77,311.20 is: 115,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,762.68 : 284,397.08 = 77,311.20 : x
  2. Step 2: Convert to fraction form
    189,762.68/284,397.08 = 77,311.20/x
  3. Step 3: Cross multiply
    189,762.68x = 284,397.08 × 77,311.20
  4. Step 4: Simplify right side
    189,762.68x = 21,987,079,531.30
  5. Step 5: Solve for x
    x = 21,987,079,531.30/189,762.68
  6. Step 6: Final answer
    x = 115,866.19

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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.