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Finding the Fourth Proportional to 56,909.61, 78,539.61 and 31,420.89

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Solution

The fourth proportional to 56,909.61, 78,539.61 and 31,420.89 is: 43,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,909.61 : 78,539.61 = 31,420.89 : x
  2. Step 2: Convert to fraction form
    56,909.61/78,539.61 = 31,420.89/x
  3. Step 3: Cross multiply
    56,909.61x = 78,539.61 × 31,420.89
  4. Step 4: Simplify right side
    56,909.61x = 2,467,784,446.45
  5. Step 5: Solve for x
    x = 2,467,784,446.45/56,909.61
  6. Step 6: Final answer
    x = 43,363.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.