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Finding the Fourth Proportional to 52,686.70, 72,709.08 and 31,478.20

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Solution

The fourth proportional to 52,686.70, 72,709.08 and 31,478.20 is: 43,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,686.70 : 72,709.08 = 31,478.20 : x
  2. Step 2: Convert to fraction form
    52,686.70/72,709.08 = 31,478.20/x
  3. Step 3: Cross multiply
    52,686.70x = 72,709.08 × 31,478.20
  4. Step 4: Simplify right side
    52,686.70x = 2,288,750,962.06
  5. Step 5: Solve for x
    x = 2,288,750,962.06/52,686.70
  6. Step 6: Final answer
    x = 43,440.77

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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.