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Finding the Fourth Proportional to 288,677.16, 432,905.04 and 99,102.20

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Solution

The fourth proportional to 288,677.16, 432,905.04 and 99,102.20 is: 148,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,677.16 : 432,905.04 = 99,102.20 : x
  2. Step 2: Convert to fraction form
    288,677.16/432,905.04 = 99,102.20/x
  3. Step 3: Cross multiply
    288,677.16x = 432,905.04 × 99,102.20
  4. Step 4: Simplify right side
    288,677.16x = 42,901,839,690.56
  5. Step 5: Solve for x
    x = 42,901,839,690.56/288,677.16
  6. Step 6: Final answer
    x = 148,615.29

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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.