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Finding the Fourth Proportional to 156,965.20, 235,447.80 and 51,758.80

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Solution

The fourth proportional to 156,965.20, 235,447.80 and 51,758.80 is: 77,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,965.20 : 235,447.80 = 51,758.80 : x
  2. Step 2: Convert to fraction form
    156,965.20/235,447.80 = 51,758.80/x
  3. Step 3: Cross multiply
    156,965.20x = 235,447.80 × 51,758.80
  4. Step 4: Simplify right side
    156,965.20x = 12,186,495,590.64
  5. Step 5: Solve for x
    x = 12,186,495,590.64/156,965.20
  6. Step 6: Final answer
    x = 77,638.20

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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.