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Finding the Fourth Proportional to 112,688.97, 168,784.30 and 77,065.87

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Solution

The fourth proportional to 112,688.97, 168,784.30 and 77,065.87 is: 115,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,688.97 : 168,784.30 = 77,065.87 : x
  2. Step 2: Convert to fraction form
    112,688.97/168,784.30 = 77,065.87/x
  3. Step 3: Cross multiply
    112,688.97x = 168,784.30 × 77,065.87
  4. Step 4: Simplify right side
    112,688.97x = 13,007,507,692.59
  5. Step 5: Solve for x
    x = 13,007,507,692.59/112,688.97
  6. Step 6: Final answer
    x = 115,428.40

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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.