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Finding the Fourth Proportional to 103,478.58, 142,812.24 and 57,542.77

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Solution

The fourth proportional to 103,478.58, 142,812.24 and 57,542.77 is: 79,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,478.58 : 142,812.24 = 57,542.77 : x
  2. Step 2: Convert to fraction form
    103,478.58/142,812.24 = 57,542.77/x
  3. Step 3: Cross multiply
    103,478.58x = 142,812.24 × 57,542.77
  4. Step 4: Simplify right side
    103,478.58x = 8,217,811,522.47
  5. Step 5: Solve for x
    x = 8,217,811,522.47/103,478.58
  6. Step 6: Final answer
    x = 79,415.58

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1.5x scale

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.