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Finding the Fourth Proportional to 56,066, 84,101.18 and 19,130

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Solution

The fourth proportional to 56,066, 84,101.18 and 19,130 is: 28,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,066 : 84,101.18 = 19,130 : x
  2. Step 2: Convert to fraction form
    56,066/84,101.18 = 19,130/x
  3. Step 3: Cross multiply
    56,066x = 84,101.18 × 19,130
  4. Step 4: Simplify right side
    56,066x = 1,608,855,573.40
  5. Step 5: Solve for x
    x = 1,608,855,573.40/56,066
  6. Step 6: Final answer
    x = 28,695.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.