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Finding the Fourth Proportional to 75,689.84, 113,548.13 and 31,291.72

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Solution

The fourth proportional to 75,689.84, 113,548.13 and 31,291.72 is: 46,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,689.84 : 113,548.13 = 31,291.72 : x
  2. Step 2: Convert to fraction form
    75,689.84/113,548.13 = 31,291.72/x
  3. Step 3: Cross multiply
    75,689.84x = 113,548.13 × 31,291.72
  4. Step 4: Simplify right side
    75,689.84x = 3,553,115,967.50
  5. Step 5: Solve for x
    x = 3,553,115,967.50/75,689.84
  6. Step 6: Final answer
    x = 46,943.10

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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.