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Finding the Fourth Proportional to 288,104.54, 432,156.80 and 77,742.48

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Solution

The fourth proportional to 288,104.54, 432,156.80 and 77,742.48 is: 116,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,104.54 : 432,156.80 = 77,742.48 : x
  2. Step 2: Convert to fraction form
    288,104.54/432,156.80 = 77,742.48/x
  3. Step 3: Cross multiply
    288,104.54x = 432,156.80 × 77,742.48
  4. Step 4: Simplify right side
    288,104.54x = 33,596,941,380.86
  5. Step 5: Solve for x
    x = 33,596,941,380.86/288,104.54
  6. Step 6: Final answer
    x = 116,613.72

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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.