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Finding the Fourth Proportional to 56,166.30, 77,509.50 and 31,015.80

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Solution

The fourth proportional to 56,166.30, 77,509.50 and 31,015.80 is: 42,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,166.30 : 77,509.50 = 31,015.80 : x
  2. Step 2: Convert to fraction form
    56,166.30/77,509.50 = 31,015.80/x
  3. Step 3: Cross multiply
    56,166.30x = 77,509.50 × 31,015.80
  4. Step 4: Simplify right side
    56,166.30x = 2,404,019,150.10
  5. Step 5: Solve for x
    x = 2,404,019,150.10/56,166.30
  6. Step 6: Final answer
    x = 42,801.81

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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.