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Finding the Fourth Proportional to 288,097.54, 432,146.30 and 77,735.47

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Solution

The fourth proportional to 288,097.54, 432,146.30 and 77,735.47 is: 116,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,097.54 : 432,146.30 = 77,735.47 : x
  2. Step 2: Convert to fraction form
    288,097.54/432,146.30 = 77,735.47/x
  3. Step 3: Cross multiply
    288,097.54x = 432,146.30 × 77,735.47
  4. Step 4: Simplify right side
    288,097.54x = 33,593,095,739.26
  5. Step 5: Solve for x
    x = 33,593,095,739.26/288,097.54
  6. Step 6: Final answer
    x = 116,603.20

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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.