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Finding the Fourth Proportional to 261,795, 392,692.50 and 84,319.95

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Solution

The fourth proportional to 261,795, 392,692.50 and 84,319.95 is: 126,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,795 : 392,692.50 = 84,319.95 : x
  2. Step 2: Convert to fraction form
    261,795/392,692.50 = 84,319.95/x
  3. Step 3: Cross multiply
    261,795x = 392,692.50 × 84,319.95
  4. Step 4: Simplify right side
    261,795x = 33,111,811,965.38
  5. Step 5: Solve for x
    x = 33,111,811,965.38/261,795
  6. Step 6: Final answer
    x = 126,479.93

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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.