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Finding the Fourth Proportional to 87,054.89, 130,619.27 and 47,565.86

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Solution

The fourth proportional to 87,054.89, 130,619.27 and 47,565.86 is: 71,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,054.89 : 130,619.27 = 47,565.86 : x
  2. Step 2: Convert to fraction form
    87,054.89/130,619.27 = 47,565.86/x
  3. Step 3: Cross multiply
    87,054.89x = 130,619.27 × 47,565.86
  4. Step 4: Simplify right side
    87,054.89x = 6,213,017,998.84
  5. Step 5: Solve for x
    x = 6,213,017,998.84/87,054.89
  6. Step 6: Final answer
    x = 71,368.98

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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.