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Finding the Fourth Proportional to 98,543.61, 147,686.85 and 45,216.33

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Solution

The fourth proportional to 98,543.61, 147,686.85 and 45,216.33 is: 67,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543.61 : 147,686.85 = 45,216.33 : x
  2. Step 2: Convert to fraction form
    98,543.61/147,686.85 = 45,216.33/x
  3. Step 3: Cross multiply
    98,543.61x = 147,686.85 × 45,216.33
  4. Step 4: Simplify right side
    98,543.61x = 6,677,857,346.26
  5. Step 5: Solve for x
    x = 6,677,857,346.26/98,543.61
  6. Step 6: Final answer
    x = 67,765.50

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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.