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Finding the Fourth Proportional to 189,075.72, 283,657.80 and 64,416.72

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Solution

The fourth proportional to 189,075.72, 283,657.80 and 64,416.72 is: 96,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,075.72 : 283,657.80 = 64,416.72 : x
  2. Step 2: Convert to fraction form
    189,075.72/283,657.80 = 64,416.72/x
  3. Step 3: Cross multiply
    189,075.72x = 283,657.80 × 64,416.72
  4. Step 4: Simplify right side
    189,075.72x = 18,272,305,078.42
  5. Step 5: Solve for x
    x = 18,272,305,078.42/189,075.72
  6. Step 6: Final answer
    x = 96,640.15

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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.