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Finding the Fourth Proportional to 101,478.86, 152,200.47 and 31,358.78

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Solution

The fourth proportional to 101,478.86, 152,200.47 and 31,358.78 is: 47,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,478.86 : 152,200.47 = 31,358.78 : x
  2. Step 2: Convert to fraction form
    101,478.86/152,200.47 = 31,358.78/x
  3. Step 3: Cross multiply
    101,478.86x = 152,200.47 × 31,358.78
  4. Step 4: Simplify right side
    101,478.86x = 4,772,821,054.63
  5. Step 5: Solve for x
    x = 4,772,821,054.63/101,478.86
  6. Step 6: Final answer
    x = 47,032.66

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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.