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Finding the Fourth Proportional to 70,868.02, 97,789.68 and 40,645

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Solution

The fourth proportional to 70,868.02, 97,789.68 and 40,645 is: 56,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,868.02 : 97,789.68 = 40,645 : x
  2. Step 2: Convert to fraction form
    70,868.02/97,789.68 = 40,645/x
  3. Step 3: Cross multiply
    70,868.02x = 97,789.68 × 40,645
  4. Step 4: Simplify right side
    70,868.02x = 3,974,661,543.60
  5. Step 5: Solve for x
    x = 3,974,661,543.60/70,868.02
  6. Step 6: Final answer
    x = 56,085.40

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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.