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Finding the Fourth Proportional to 87,307.50, 120,484.36 and 47,563.50

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Solution

The fourth proportional to 87,307.50, 120,484.36 and 47,563.50 is: 65,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,307.50 : 120,484.36 = 47,563.50 : x
  2. Step 2: Convert to fraction form
    87,307.50/120,484.36 = 47,563.50/x
  3. Step 3: Cross multiply
    87,307.50x = 120,484.36 × 47,563.50
  4. Step 4: Simplify right side
    87,307.50x = 5,730,657,856.86
  5. Step 5: Solve for x
    x = 5,730,657,856.86/87,307.50
  6. Step 6: Final answer
    x = 65,637.64

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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.