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Finding the Fourth Proportional to 231,097.67, 318,885.47 and 135,569.51

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Solution

The fourth proportional to 231,097.67, 318,885.47 and 135,569.51 is: 187,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,097.67 : 318,885.47 = 135,569.51 : x
  2. Step 2: Convert to fraction form
    231,097.67/318,885.47 = 135,569.51/x
  3. Step 3: Cross multiply
    231,097.67x = 318,885.47 × 135,569.51
  4. Step 4: Simplify right side
    231,097.67x = 43,231,148,050.16
  5. Step 5: Solve for x
    x = 43,231,148,050.16/231,097.67
  6. Step 6: Final answer
    x = 187,068.73

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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.