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Finding the Fourth Proportional to 134,560, 185,692.80 and 74,947.84

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Solution

The fourth proportional to 134,560, 185,692.80 and 74,947.84 is: 103,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,560 : 185,692.80 = 74,947.84 : x
  2. Step 2: Convert to fraction form
    134,560/185,692.80 = 74,947.84/x
  3. Step 3: Cross multiply
    134,560x = 185,692.80 × 74,947.84
  4. Step 4: Simplify right side
    134,560x = 13,917,274,263.55
  5. Step 5: Solve for x
    x = 13,917,274,263.55/134,560
  6. Step 6: Final answer
    x = 103,428.02

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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.