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Finding the Fourth Proportional to 156,980.78, 235,437.96 and 51,774.74

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Solution

The fourth proportional to 156,980.78, 235,437.96 and 51,774.74 is: 77,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980.78 : 235,437.96 = 51,774.74 : x
  2. Step 2: Convert to fraction form
    156,980.78/235,437.96 = 51,774.74/x
  3. Step 3: Cross multiply
    156,980.78x = 235,437.96 × 51,774.74
  4. Step 4: Simplify right side
    156,980.78x = 12,189,739,165.13
  5. Step 5: Solve for x
    x = 12,189,739,165.13/156,980.78
  6. Step 6: Final answer
    x = 77,651.16

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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.