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Finding the Fourth Proportional to 142,416.63, 213,436.32 and 75,713.13

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Solution

The fourth proportional to 142,416.63, 213,436.32 and 75,713.13 is: 113,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,416.63 : 213,436.32 = 75,713.13 : x
  2. Step 2: Convert to fraction form
    142,416.63/213,436.32 = 75,713.13/x
  3. Step 3: Cross multiply
    142,416.63x = 213,436.32 × 75,713.13
  4. Step 4: Simplify right side
    142,416.63x = 16,159,931,558.96
  5. Step 5: Solve for x
    x = 16,159,931,558.96/142,416.63
  6. Step 6: Final answer
    x = 113,469.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.