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Finding the Fourth Proportional to 65,000.50, 89,701.28 and 38,143.45

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Solution

The fourth proportional to 65,000.50, 89,701.28 and 38,143.45 is: 52,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000.50 : 89,701.28 = 38,143.45 : x
  2. Step 2: Convert to fraction form
    65,000.50/89,701.28 = 38,143.45/x
  3. Step 3: Cross multiply
    65,000.50x = 89,701.28 × 38,143.45
  4. Step 4: Simplify right side
    65,000.50x = 3,421,516,288.62
  5. Step 5: Solve for x
    x = 3,421,516,288.62/65,000.50
  6. Step 6: Final answer
    x = 52,638.31

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1.5x scale

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.