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Finding the Fourth Proportional to 70,809.76, 97,726.80 and 42,517.27

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Solution

The fourth proportional to 70,809.76, 97,726.80 and 42,517.27 is: 58,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,809.76 : 97,726.80 = 42,517.27 : x
  2. Step 2: Convert to fraction form
    70,809.76/97,726.80 = 42,517.27/x
  3. Step 3: Cross multiply
    70,809.76x = 97,726.80 × 42,517.27
  4. Step 4: Simplify right side
    70,809.76x = 4,155,076,741.84
  5. Step 5: Solve for x
    x = 4,155,076,741.84/70,809.76
  6. Step 6: Final answer
    x = 58,679.44

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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.