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Finding the Fourth Proportional to 102,509.83, 141,463.63 and 57,187.82

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Solution

The fourth proportional to 102,509.83, 141,463.63 and 57,187.82 is: 78,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,509.83 : 141,463.63 = 57,187.82 : x
  2. Step 2: Convert to fraction form
    102,509.83/141,463.63 = 57,187.82/x
  3. Step 3: Cross multiply
    102,509.83x = 141,463.63 × 57,187.82
  4. Step 4: Simplify right side
    102,509.83x = 8,089,996,238.40
  5. Step 5: Solve for x
    x = 8,089,996,238.40/102,509.83
  6. Step 6: Final answer
    x = 78,919.22

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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.