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Finding the Fourth Proportional to 75,875.50, 113,735.49 and 31,528

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Solution

The fourth proportional to 75,875.50, 113,735.49 and 31,528 is: 47,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,875.50 : 113,735.49 = 31,528 : x
  2. Step 2: Convert to fraction form
    75,875.50/113,735.49 = 31,528/x
  3. Step 3: Cross multiply
    75,875.50x = 113,735.49 × 31,528
  4. Step 4: Simplify right side
    75,875.50x = 3,585,852,528.72
  5. Step 5: Solve for x
    x = 3,585,852,528.72/75,875.50
  6. Step 6: Final answer
    x = 47,259.69

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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.