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Finding the Fourth Proportional to 187,671.64, 281,509.28 and 47,430.28

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Solution

The fourth proportional to 187,671.64, 281,509.28 and 47,430.28 is: 71,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,671.64 : 281,509.28 = 47,430.28 : x
  2. Step 2: Convert to fraction form
    187,671.64/281,509.28 = 47,430.28/x
  3. Step 3: Cross multiply
    187,671.64x = 281,509.28 × 47,430.28
  4. Step 4: Simplify right side
    187,671.64x = 13,352,063,973.00
  5. Step 5: Solve for x
    x = 13,352,063,973.00/187,671.64
  6. Step 6: Final answer
    x = 71,145.88

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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.