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Finding the Fourth Proportional to 231,574.64, 319,633.08 and 131,030.96

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Solution

The fourth proportional to 231,574.64, 319,633.08 and 131,030.96 is: 180,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,574.64 : 319,633.08 = 131,030.96 : x
  2. Step 2: Convert to fraction form
    231,574.64/319,633.08 = 131,030.96/x
  3. Step 3: Cross multiply
    231,574.64x = 319,633.08 × 131,030.96
  4. Step 4: Simplify right side
    231,574.64x = 41,881,829,320.16
  5. Step 5: Solve for x
    x = 41,881,829,320.16/231,574.64
  6. Step 6: Final answer
    x = 180,856.72

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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.