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Finding the Fourth Proportional to 97,695.80, 146,543.70 and 45,207.80

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Solution

The fourth proportional to 97,695.80, 146,543.70 and 45,207.80 is: 67,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,695.80 : 146,543.70 = 45,207.80 : x
  2. Step 2: Convert to fraction form
    97,695.80/146,543.70 = 45,207.80/x
  3. Step 3: Cross multiply
    97,695.80x = 146,543.70 × 45,207.80
  4. Step 4: Simplify right side
    97,695.80x = 6,624,918,280.86
  5. Step 5: Solve for x
    x = 6,624,918,280.86/97,695.80
  6. Step 6: Final answer
    x = 67,811.70

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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.