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Finding the Fourth Proportional to 102,951.51, 142,066.50 and 57,621.87

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Solution

The fourth proportional to 102,951.51, 142,066.50 and 57,621.87 is: 79,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,951.51 : 142,066.50 = 57,621.87 : x
  2. Step 2: Convert to fraction form
    102,951.51/142,066.50 = 57,621.87/x
  3. Step 3: Cross multiply
    102,951.51x = 142,066.50 × 57,621.87
  4. Step 4: Simplify right side
    102,951.51x = 8,186,137,394.36
  5. Step 5: Solve for x
    x = 8,186,137,394.36/102,951.51
  6. Step 6: Final answer
    x = 79,514.50

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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.