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Finding the Fourth Proportional to 65,695.32, 98,513.28 and 30,645

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Solution

The fourth proportional to 65,695.32, 98,513.28 and 30,645 is: 45,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695.32 : 98,513.28 = 30,645 : x
  2. Step 2: Convert to fraction form
    65,695.32/98,513.28 = 30,645/x
  3. Step 3: Cross multiply
    65,695.32x = 98,513.28 × 30,645
  4. Step 4: Simplify right side
    65,695.32x = 3,018,939,465.60
  5. Step 5: Solve for x
    x = 3,018,939,465.60/65,695.32
  6. Step 6: Final answer
    x = 45,953.65

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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.