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Finding the Fourth Proportional to 288,092.16, 432,086.00 and 77,680.89

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Solution

The fourth proportional to 288,092.16, 432,086.00 and 77,680.89 is: 116,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,092.16 : 432,086.00 = 77,680.89 : x
  2. Step 2: Convert to fraction form
    288,092.16/432,086.00 = 77,680.89/x
  3. Step 3: Cross multiply
    288,092.16x = 432,086.00 × 77,680.89
  4. Step 4: Simplify right side
    288,092.16x = 33,564,824,648.14
  5. Step 5: Solve for x
    x = 33,564,824,648.14/288,092.16
  6. Step 6: Final answer
    x = 116,507.25

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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.