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Finding the Fourth Proportional to 65,000.53, 97,531.75 and 45,040.80

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Solution

The fourth proportional to 65,000.53, 97,531.75 and 45,040.80 is: 67,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000.53 : 97,531.75 = 45,040.80 : x
  2. Step 2: Convert to fraction form
    65,000.53/97,531.75 = 45,040.80/x
  3. Step 3: Cross multiply
    65,000.53x = 97,531.75 × 45,040.80
  4. Step 4: Simplify right side
    65,000.53x = 4,392,908,045.40
  5. Step 5: Solve for x
    x = 4,392,908,045.40/65,000.53
  6. Step 6: Final answer
    x = 67,582.65

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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.