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Finding the Fourth Proportional to 96,987.80, 133,823.11 and 56,693.77

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Solution

The fourth proportional to 96,987.80, 133,823.11 and 56,693.77 is: 78,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,987.80 : 133,823.11 = 56,693.77 : x
  2. Step 2: Convert to fraction form
    96,987.80/133,823.11 = 56,693.77/x
  3. Step 3: Cross multiply
    96,987.80x = 133,823.11 × 56,693.77
  4. Step 4: Simplify right side
    96,987.80x = 7,586,936,619.02
  5. Step 5: Solve for x
    x = 7,586,936,619.02/96,987.80
  6. Step 6: Final answer
    x = 78,225.68

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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.