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Finding the Fourth Proportional to 70,872, 97,802.31 and 39,040.92

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Solution

The fourth proportional to 70,872, 97,802.31 and 39,040.92 is: 53,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872 : 97,802.31 = 39,040.92 : x
  2. Step 2: Convert to fraction form
    70,872/97,802.31 = 39,040.92/x
  3. Step 3: Cross multiply
    70,872x = 97,802.31 × 39,040.92
  4. Step 4: Simplify right side
    70,872x = 3,818,292,160.53
  5. Step 5: Solve for x
    x = 3,818,292,160.53/70,872
  6. Step 6: Final answer
    x = 53,875.89

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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.