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Finding the Fourth Proportional to 154,672.30, 231,980.64 and 70,412.32

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Solution

The fourth proportional to 154,672.30, 231,980.64 and 70,412.32 is: 105,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,672.30 : 231,980.64 = 70,412.32 : x
  2. Step 2: Convert to fraction form
    154,672.30/231,980.64 = 70,412.32/x
  3. Step 3: Cross multiply
    154,672.30x = 231,980.64 × 70,412.32
  4. Step 4: Simplify right side
    154,672.30x = 16,334,295,057.48
  5. Step 5: Solve for x
    x = 16,334,295,057.48/154,672.30
  6. Step 6: Final answer
    x = 105,605.82

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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.