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Finding the Fourth Proportional to 70,862.64, 97,780.28 and 40,649.24

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Solution

The fourth proportional to 70,862.64, 97,780.28 and 40,649.24 is: 56,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,862.64 : 97,780.28 = 40,649.24 : x
  2. Step 2: Convert to fraction form
    70,862.64/97,780.28 = 40,649.24/x
  3. Step 3: Cross multiply
    70,862.64x = 97,780.28 × 40,649.24
  4. Step 4: Simplify right side
    70,862.64x = 3,974,693,376.84
  5. Step 5: Solve for x
    x = 3,974,693,376.84/70,862.64
  6. Step 6: Final answer
    x = 56,090.11

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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.