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Finding the Fourth Proportional to 52,685.70, 72,707.70 and 31,477.20

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Solution

The fourth proportional to 52,685.70, 72,707.70 and 31,477.20 is: 43,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,685.70 : 72,707.70 = 31,477.20 : x
  2. Step 2: Convert to fraction form
    52,685.70/72,707.70 = 31,477.20/x
  3. Step 3: Cross multiply
    52,685.70x = 72,707.70 × 31,477.20
  4. Step 4: Simplify right side
    52,685.70x = 2,288,634,814.44
  5. Step 5: Solve for x
    x = 2,288,634,814.44/52,685.70
  6. Step 6: Final answer
    x = 43,439.39

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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.