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Finding the Fourth Proportional to 70,929.78, 97,881.24 and 39,098.82

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Solution

The fourth proportional to 70,929.78, 97,881.24 and 39,098.82 is: 53,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,929.78 : 97,881.24 = 39,098.82 : x
  2. Step 2: Convert to fraction form
    70,929.78/97,881.24 = 39,098.82/x
  3. Step 3: Cross multiply
    70,929.78x = 97,881.24 × 39,098.82
  4. Step 4: Simplify right side
    70,929.78x = 3,827,040,984.14
  5. Step 5: Solve for x
    x = 3,827,040,984.14/70,929.78
  6. Step 6: Final answer
    x = 53,955.35

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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.