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Finding the Fourth Proportional to 43,156.76, 64,742.52 and 19,785.20

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Solution

The fourth proportional to 43,156.76, 64,742.52 and 19,785.20 is: 29,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,156.76 : 64,742.52 = 19,785.20 : x
  2. Step 2: Convert to fraction form
    43,156.76/64,742.52 = 19,785.20/x
  3. Step 3: Cross multiply
    43,156.76x = 64,742.52 × 19,785.20
  4. Step 4: Simplify right side
    43,156.76x = 1,280,943,706.70
  5. Step 5: Solve for x
    x = 1,280,943,706.70/43,156.76
  6. Step 6: Final answer
    x = 29,681.18

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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.