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Finding the Fourth Proportional to 106,987.80, 160,827.30 and 76,037.40

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Solution

The fourth proportional to 106,987.80, 160,827.30 and 76,037.40 is: 114,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,987.80 : 160,827.30 = 76,037.40 : x
  2. Step 2: Convert to fraction form
    106,987.80/160,827.30 = 76,037.40/x
  3. Step 3: Cross multiply
    106,987.80x = 160,827.30 × 76,037.40
  4. Step 4: Simplify right side
    106,987.80x = 12,228,889,741.02
  5. Step 5: Solve for x
    x = 12,228,889,741.02/106,987.80
  6. Step 6: Final answer
    x = 114,301.72

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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.