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Finding the Fourth Proportional to 57,486.70, 86,328.45 and 31,242.70

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Solution

The fourth proportional to 57,486.70, 86,328.45 and 31,242.70 is: 46,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,486.70 : 86,328.45 = 31,242.70 : x
  2. Step 2: Convert to fraction form
    57,486.70/86,328.45 = 31,242.70/x
  3. Step 3: Cross multiply
    57,486.70x = 86,328.45 × 31,242.70
  4. Step 4: Simplify right side
    57,486.70x = 2,697,133,864.82
  5. Step 5: Solve for x
    x = 2,697,133,864.82/57,486.70
  6. Step 6: Final answer
    x = 46,917.53

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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.