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Finding the Fourth Proportional to 140,182.64, 193,454.76 and 76,526

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Solution

The fourth proportional to 140,182.64, 193,454.76 and 76,526 is: 105,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,182.64 : 193,454.76 = 76,526 : x
  2. Step 2: Convert to fraction form
    140,182.64/193,454.76 = 76,526/x
  3. Step 3: Cross multiply
    140,182.64x = 193,454.76 × 76,526
  4. Step 4: Simplify right side
    140,182.64x = 14,804,318,963.76
  5. Step 5: Solve for x
    x = 14,804,318,963.76/140,182.64
  6. Step 6: Final answer
    x = 105,607.36

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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.