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Finding the Fourth Proportional to 78,473.40, 117,693.48 and 25,870.38

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Solution

The fourth proportional to 78,473.40, 117,693.48 and 25,870.38 is: 38,800.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,473.40 : 117,693.48 = 25,870.38 : x
  2. Step 2: Convert to fraction form
    78,473.40/117,693.48 = 25,870.38/x
  3. Step 3: Cross multiply
    78,473.40x = 117,693.48 × 25,870.38
  4. Step 4: Simplify right side
    78,473.40x = 3,044,775,051.12
  5. Step 5: Solve for x
    x = 3,044,775,051.12/78,473.40
  6. Step 6: Final answer
    x = 38,800.09

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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.