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Finding the Fourth Proportional to 156,854.16, 216,311.16 and 120,987.36

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Solution

The fourth proportional to 156,854.16, 216,311.16 and 120,987.36 is: 166,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,854.16 : 216,311.16 = 120,987.36 : x
  2. Step 2: Convert to fraction form
    156,854.16/216,311.16 = 120,987.36/x
  3. Step 3: Cross multiply
    156,854.16x = 216,311.16 × 120,987.36
  4. Step 4: Simplify right side
    156,854.16x = 26,170,916,186.94
  5. Step 5: Solve for x
    x = 26,170,916,186.94/156,854.16
  6. Step 6: Final answer
    x = 166,848.72

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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.