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Finding the Fourth Proportional to 102,520.96, 141,483.84 and 57,808

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Solution

The fourth proportional to 102,520.96, 141,483.84 and 57,808 is: 79,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,520.96 : 141,483.84 = 57,808 : x
  2. Step 2: Convert to fraction form
    102,520.96/141,483.84 = 57,808/x
  3. Step 3: Cross multiply
    102,520.96x = 141,483.84 × 57,808
  4. Step 4: Simplify right side
    102,520.96x = 8,178,897,822.72
  5. Step 5: Solve for x
    x = 8,178,897,822.72/102,520.96
  6. Step 6: Final answer
    x = 79,777.81

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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.