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Finding the Fourth Proportional to 107,154.20, 147,702.02 and 84,458

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Solution

The fourth proportional to 107,154.20, 147,702.02 and 84,458 is: 116,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,154.20 : 147,702.02 = 84,458 : x
  2. Step 2: Convert to fraction form
    107,154.20/147,702.02 = 84,458/x
  3. Step 3: Cross multiply
    107,154.20x = 147,702.02 × 84,458
  4. Step 4: Simplify right side
    107,154.20x = 12,474,617,205.16
  5. Step 5: Solve for x
    x = 12,474,617,205.16/107,154.20
  6. Step 6: Final answer
    x = 116,417.44

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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.