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Finding the Fourth Proportional to 57,953.07, 86,929.61 and 31,643.46

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Solution

The fourth proportional to 57,953.07, 86,929.61 and 31,643.46 is: 47,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,953.07 : 86,929.61 = 31,643.46 : x
  2. Step 2: Convert to fraction form
    57,953.07/86,929.61 = 31,643.46/x
  3. Step 3: Cross multiply
    57,953.07x = 86,929.61 × 31,643.46
  4. Step 4: Simplify right side
    57,953.07x = 2,750,753,478.63
  5. Step 5: Solve for x
    x = 2,750,753,478.63/57,953.07
  6. Step 6: Final answer
    x = 47,465.19

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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.