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Finding the Fourth Proportional to 55,807, 76,991.84 and 31,920.90

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Solution

The fourth proportional to 55,807, 76,991.84 and 31,920.90 is: 44,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,807 : 76,991.84 = 31,920.90 : x
  2. Step 2: Convert to fraction form
    55,807/76,991.84 = 31,920.90/x
  3. Step 3: Cross multiply
    55,807x = 76,991.84 × 31,920.90
  4. Step 4: Simplify right side
    55,807x = 2,457,648,825.46
  5. Step 5: Solve for x
    x = 2,457,648,825.46/55,807
  6. Step 6: Final answer
    x = 44,038.36

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1.5x scale

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.