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Finding the Fourth Proportional to 288,101.91, 432,100.62 and 77,690.64

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Solution

The fourth proportional to 288,101.91, 432,100.62 and 77,690.64 is: 116,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,101.91 : 432,100.62 = 77,690.64 : x
  2. Step 2: Convert to fraction form
    288,101.91/432,100.62 = 77,690.64/x
  3. Step 3: Cross multiply
    288,101.91x = 432,100.62 × 77,690.64
  4. Step 4: Simplify right side
    288,101.91x = 33,570,173,712.20
  5. Step 5: Solve for x
    x = 33,570,173,712.20/288,101.91
  6. Step 6: Final answer
    x = 116,521.87

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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.