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Finding the Fourth Proportional to 101,809.80, 152,811.90 and 51,946.20

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Solution

The fourth proportional to 101,809.80, 152,811.90 and 51,946.20 is: 77,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,809.80 : 152,811.90 = 51,946.20 : x
  2. Step 2: Convert to fraction form
    101,809.80/152,811.90 = 51,946.20/x
  3. Step 3: Cross multiply
    101,809.80x = 152,811.90 × 51,946.20
  4. Step 4: Simplify right side
    101,809.80x = 7,937,997,519.78
  5. Step 5: Solve for x
    x = 7,937,997,519.78/101,809.80
  6. Step 6: Final answer
    x = 77,968.89

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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.