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Finding the Fourth Proportional to 52,010, 77,728.72 and 37,999.20

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Solution

The fourth proportional to 52,010, 77,728.72 and 37,999.20 is: 56,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010 : 77,728.72 = 37,999.20 : x
  2. Step 2: Convert to fraction form
    52,010/77,728.72 = 37,999.20/x
  3. Step 3: Cross multiply
    52,010x = 77,728.72 × 37,999.20
  4. Step 4: Simplify right side
    52,010x = 2,953,629,177.02
  5. Step 5: Solve for x
    x = 2,953,629,177.02/52,010
  6. Step 6: Final answer
    x = 56,789.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.