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Finding the Fourth Proportional to 288,111.04, 432,166.56 and 77,748.96

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Solution

The fourth proportional to 288,111.04, 432,166.56 and 77,748.96 is: 116,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,111.04 : 432,166.56 = 77,748.96 : x
  2. Step 2: Convert to fraction form
    288,111.04/432,166.56 = 77,748.96/x
  3. Step 3: Cross multiply
    288,111.04x = 432,166.56 × 77,748.96
  4. Step 4: Simplify right side
    288,111.04x = 33,600,500,586.78
  5. Step 5: Solve for x
    x = 33,600,500,586.78/288,111.04
  6. Step 6: Final answer
    x = 116,623.44

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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.