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Finding the Fourth Proportional to 102,916.80, 142,023.60 and 57,594

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Solution

The fourth proportional to 102,916.80, 142,023.60 and 57,594 is: 79,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,916.80 : 142,023.60 = 57,594 : x
  2. Step 2: Convert to fraction form
    102,916.80/142,023.60 = 57,594/x
  3. Step 3: Cross multiply
    102,916.80x = 142,023.60 × 57,594
  4. Step 4: Simplify right side
    102,916.80x = 8,179,707,218.40
  5. Step 5: Solve for x
    x = 8,179,707,218.40/102,916.80
  6. Step 6: Final answer
    x = 79,478.83

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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.