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Finding the Fourth Proportional to 288,111.01, 432,166.53 and 77,748.61

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Solution

The fourth proportional to 288,111.01, 432,166.53 and 77,748.61 is: 116,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,111.01 : 432,166.53 = 77,748.61 : x
  2. Step 2: Convert to fraction form
    288,111.01/432,166.53 = 77,748.61/x
  3. Step 3: Cross multiply
    288,111.01x = 432,166.53 × 77,748.61
  4. Step 4: Simplify right side
    288,111.01x = 33,600,346,996.02
  5. Step 5: Solve for x
    x = 33,600,346,996.02/288,111.01
  6. Step 6: Final answer
    x = 116,622.92

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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.