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Finding the Fourth Proportional to 148,692.16, 205,191.12 and 81,624.16

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Solution

The fourth proportional to 148,692.16, 205,191.12 and 81,624.16 is: 112,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,692.16 : 205,191.12 = 81,624.16 : x
  2. Step 2: Convert to fraction form
    148,692.16/205,191.12 = 81,624.16/x
  3. Step 3: Cross multiply
    148,692.16x = 205,191.12 × 81,624.16
  4. Step 4: Simplify right side
    148,692.16x = 16,748,552,809.46
  5. Step 5: Solve for x
    x = 16,748,552,809.46/148,692.16
  6. Step 6: Final answer
    x = 112,639.11

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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.