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Finding the Fourth Proportional to 103,193.60, 142,406.40 and 58,483.20

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Solution

The fourth proportional to 103,193.60, 142,406.40 and 58,483.20 is: 80,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,193.60 : 142,406.40 = 58,483.20 : x
  2. Step 2: Convert to fraction form
    103,193.60/142,406.40 = 58,483.20/x
  3. Step 3: Cross multiply
    103,193.60x = 142,406.40 × 58,483.20
  4. Step 4: Simplify right side
    103,193.60x = 8,328,381,972.48
  5. Step 5: Solve for x
    x = 8,328,381,972.48/103,193.60
  6. Step 6: Final answer
    x = 80,706.38

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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.