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Finding the Fourth Proportional to 78,005.78, 117,026.29 and 24,701

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Solution

The fourth proportional to 78,005.78, 117,026.29 and 24,701 is: 37,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.78 : 117,026.29 = 24,701 : x
  2. Step 2: Convert to fraction form
    78,005.78/117,026.29 = 24,701/x
  3. Step 3: Cross multiply
    78,005.78x = 117,026.29 × 24,701
  4. Step 4: Simplify right side
    78,005.78x = 2,890,666,389.29
  5. Step 5: Solve for x
    x = 2,890,666,389.29/78,005.78
  6. Step 6: Final answer
    x = 37,057.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.