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Finding the Fourth Proportional to 156,937.30, 235,405.95 and 78,205.30

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Solution

The fourth proportional to 156,937.30, 235,405.95 and 78,205.30 is: 117,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,937.30 : 235,405.95 = 78,205.30 : x
  2. Step 2: Convert to fraction form
    156,937.30/235,405.95 = 78,205.30/x
  3. Step 3: Cross multiply
    156,937.30x = 235,405.95 × 78,205.30
  4. Step 4: Simplify right side
    156,937.30x = 18,409,992,941.54
  5. Step 5: Solve for x
    x = 18,409,992,941.54/156,937.30
  6. Step 6: Final answer
    x = 117,307.95

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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.