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Finding the Fourth Proportional to 97,978.57, 146,953.14 and 31,409.71

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Solution

The fourth proportional to 97,978.57, 146,953.14 and 31,409.71 is: 47,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,978.57 : 146,953.14 = 31,409.71 : x
  2. Step 2: Convert to fraction form
    97,978.57/146,953.14 = 31,409.71/x
  3. Step 3: Cross multiply
    97,978.57x = 146,953.14 × 31,409.71
  4. Step 4: Simplify right side
    97,978.57x = 4,615,755,510.99
  5. Step 5: Solve for x
    x = 4,615,755,510.99/97,978.57
  6. Step 6: Final answer
    x = 47,109.85

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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.