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Finding the Fourth Proportional to 156,980.90, 235,384.95 and 51,745.70

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Solution

The fourth proportional to 156,980.90, 235,384.95 and 51,745.70 is: 77,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980.90 : 235,384.95 = 51,745.70 : x
  2. Step 2: Convert to fraction form
    156,980.90/235,384.95 = 51,745.70/x
  3. Step 3: Cross multiply
    156,980.90x = 235,384.95 × 51,745.70
  4. Step 4: Simplify right side
    156,980.90x = 12,180,159,007.22
  5. Step 5: Solve for x
    x = 12,180,159,007.22/156,980.90
  6. Step 6: Final answer
    x = 77,590.07

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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.