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Finding the Fourth Proportional to 102,578.01, 141,557.13 and 57,253.38

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Solution

The fourth proportional to 102,578.01, 141,557.13 and 57,253.38 is: 79,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,578.01 : 141,557.13 = 57,253.38 : x
  2. Step 2: Convert to fraction form
    102,578.01/141,557.13 = 57,253.38/x
  3. Step 3: Cross multiply
    102,578.01x = 141,557.13 × 57,253.38
  4. Step 4: Simplify right side
    102,578.01x = 8,104,624,155.60
  5. Step 5: Solve for x
    x = 8,104,624,155.60/102,578.01
  6. Step 6: Final answer
    x = 79,009.37

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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.