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Finding the Fourth Proportional to 134,572.86, 185,710.86 and 77,214.24

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Solution

The fourth proportional to 134,572.86, 185,710.86 and 77,214.24 is: 106,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,572.86 : 185,710.86 = 77,214.24 : x
  2. Step 2: Convert to fraction form
    134,572.86/185,710.86 = 77,214.24/x
  3. Step 3: Cross multiply
    134,572.86x = 185,710.86 × 77,214.24
  4. Step 4: Simplify right side
    134,572.86x = 14,339,522,914.65
  5. Step 5: Solve for x
    x = 14,339,522,914.65/134,572.86
  6. Step 6: Final answer
    x = 106,555.83

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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.