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Finding the Fourth Proportional to 230,689.86, 318,410.01 and 130,146.18

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Solution

The fourth proportional to 230,689.86, 318,410.01 and 130,146.18 is: 179,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,689.86 : 318,410.01 = 130,146.18 : x
  2. Step 2: Convert to fraction form
    230,689.86/318,410.01 = 130,146.18/x
  3. Step 3: Cross multiply
    230,689.86x = 318,410.01 × 130,146.18
  4. Step 4: Simplify right side
    230,689.86x = 41,439,846,475.26
  5. Step 5: Solve for x
    x = 41,439,846,475.26/230,689.86
  6. Step 6: Final answer
    x = 179,634.45

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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.