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Finding the Fourth Proportional to 172,146.30, 258,209.43 and 77,352

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Solution

The fourth proportional to 172,146.30, 258,209.43 and 77,352 is: 116,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,146.30 : 258,209.43 = 77,352 : x
  2. Step 2: Convert to fraction form
    172,146.30/258,209.43 = 77,352/x
  3. Step 3: Cross multiply
    172,146.30x = 258,209.43 × 77,352
  4. Step 4: Simplify right side
    172,146.30x = 19,973,015,829.36
  5. Step 5: Solve for x
    x = 19,973,015,829.36/172,146.30
  6. Step 6: Final answer
    x = 116,023.50

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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.