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Finding the Fourth Proportional to 97,763.12, 134,904.12 and 55,314.80

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Solution

The fourth proportional to 97,763.12, 134,904.12 and 55,314.80 is: 76,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,763.12 : 134,904.12 = 55,314.80 : x
  2. Step 2: Convert to fraction form
    97,763.12/134,904.12 = 55,314.80/x
  3. Step 3: Cross multiply
    97,763.12x = 134,904.12 × 55,314.80
  4. Step 4: Simplify right side
    97,763.12x = 7,462,194,416.98
  5. Step 5: Solve for x
    x = 7,462,194,416.98/97,763.12
  6. Step 6: Final answer
    x = 76,329.34

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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.