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Finding the Fourth Proportional to 102,970.80, 142,099.02 and 57,648.56

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Solution

The fourth proportional to 102,970.80, 142,099.02 and 57,648.56 is: 79,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,970.80 : 142,099.02 = 57,648.56 : x
  2. Step 2: Convert to fraction form
    102,970.80/142,099.02 = 57,648.56/x
  3. Step 3: Cross multiply
    102,970.80x = 142,099.02 × 57,648.56
  4. Step 4: Simplify right side
    102,970.80x = 8,191,803,880.41
  5. Step 5: Solve for x
    x = 8,191,803,880.41/102,970.80
  6. Step 6: Final answer
    x = 79,554.63

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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.