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Finding the Fourth Proportional to 98,543.70, 147,645.45 and 45,845.10

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Solution

The fourth proportional to 98,543.70, 147,645.45 and 45,845.10 is: 68,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543.70 : 147,645.45 = 45,845.10 : x
  2. Step 2: Convert to fraction form
    98,543.70/147,645.45 = 45,845.10/x
  3. Step 3: Cross multiply
    98,543.70x = 147,645.45 × 45,845.10
  4. Step 4: Simplify right side
    98,543.70x = 6,768,820,419.80
  5. Step 5: Solve for x
    x = 6,768,820,419.80/98,543.70
  6. Step 6: Final answer
    x = 68,688.52

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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.