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Finding the Fourth Proportional to 52,407.80, 78,611.70 and 47,223.80

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Solution

The fourth proportional to 52,407.80, 78,611.70 and 47,223.80 is: 70,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.80 : 78,611.70 = 47,223.80 : x
  2. Step 2: Convert to fraction form
    52,407.80/78,611.70 = 47,223.80/x
  3. Step 3: Cross multiply
    52,407.80x = 78,611.70 × 47,223.80
  4. Step 4: Simplify right side
    52,407.80x = 3,712,343,198.46
  5. Step 5: Solve for x
    x = 3,712,343,198.46/52,407.80
  6. Step 6: Final answer
    x = 70,835.70

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Similar ratio
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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.