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Finding the Fourth Proportional to 102,028.57, 153,018.55 and 42,865.39

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Solution

The fourth proportional to 102,028.57, 153,018.55 and 42,865.39 is: 64,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028.57 : 153,018.55 = 42,865.39 : x
  2. Step 2: Convert to fraction form
    102,028.57/153,018.55 = 42,865.39/x
  3. Step 3: Cross multiply
    102,028.57x = 153,018.55 × 42,865.39
  4. Step 4: Simplify right side
    102,028.57x = 6,559,199,822.98
  5. Step 5: Solve for x
    x = 6,559,199,822.98/102,028.57
  6. Step 6: Final answer
    x = 64,287.87

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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.