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Finding the Fourth Proportional to 70,868.16, 97,798.56 and 40,654.80

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Solution

The fourth proportional to 70,868.16, 97,798.56 and 40,654.80 is: 56,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,868.16 : 97,798.56 = 40,654.80 : x
  2. Step 2: Convert to fraction form
    70,868.16/97,798.56 = 40,654.80/x
  3. Step 3: Cross multiply
    70,868.16x = 97,798.56 × 40,654.80
  4. Step 4: Simplify right side
    70,868.16x = 3,975,980,897.09
  5. Step 5: Solve for x
    x = 3,975,980,897.09/70,868.16
  6. Step 6: Final answer
    x = 56,103.91

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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.