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Finding the Fourth Proportional to 125,235, 172,842.02 and 77,503.73

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Solution

The fourth proportional to 125,235, 172,842.02 and 77,503.73 is: 106,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,235 : 172,842.02 = 77,503.73 : x
  2. Step 2: Convert to fraction form
    125,235/172,842.02 = 77,503.73/x
  3. Step 3: Cross multiply
    125,235x = 172,842.02 × 77,503.73
  4. Step 4: Simplify right side
    125,235x = 13,395,901,250.73
  5. Step 5: Solve for x
    x = 13,395,901,250.73/125,235
  6. Step 6: Final answer
    x = 106,966.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.