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Finding the Fourth Proportional to 145,869.40, 201,299.46 and 78,801.40

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Solution

The fourth proportional to 145,869.40, 201,299.46 and 78,801.40 is: 108,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,869.40 : 201,299.46 = 78,801.40 : x
  2. Step 2: Convert to fraction form
    145,869.40/201,299.46 = 78,801.40/x
  3. Step 3: Cross multiply
    145,869.40x = 201,299.46 × 78,801.40
  4. Step 4: Simplify right side
    145,869.40x = 15,862,679,267.24
  5. Step 5: Solve for x
    x = 15,862,679,267.24/145,869.40
  6. Step 6: Final answer
    x = 108,745.76

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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.