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Finding the Fourth Proportional to 65,130.18, 89,865.10 and 39,649.88

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Solution

The fourth proportional to 65,130.18, 89,865.10 and 39,649.88 is: 54,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.18 : 89,865.10 = 39,649.88 : x
  2. Step 2: Convert to fraction form
    65,130.18/89,865.10 = 39,649.88/x
  3. Step 3: Cross multiply
    65,130.18x = 89,865.10 × 39,649.88
  4. Step 4: Simplify right side
    65,130.18x = 3,563,140,431.19
  5. Step 5: Solve for x
    x = 3,563,140,431.19/65,130.18
  6. Step 6: Final answer
    x = 54,707.98

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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.