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Finding the Fourth Proportional to 101,760.48, 152,666.64 and 31,640.40

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Solution

The fourth proportional to 101,760.48, 152,666.64 and 31,640.40 is: 47,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,760.48 : 152,666.64 = 31,640.40 : x
  2. Step 2: Convert to fraction form
    101,760.48/152,666.64 = 31,640.40/x
  3. Step 3: Cross multiply
    101,760.48x = 152,666.64 × 31,640.40
  4. Step 4: Simplify right side
    101,760.48x = 4,830,433,556.26
  5. Step 5: Solve for x
    x = 4,830,433,556.26/101,760.48
  6. Step 6: Final answer
    x = 47,468.66

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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.