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Finding the Fourth Proportional to 78,394.32, 117,547.74 and 25,789.68

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Solution

The fourth proportional to 78,394.32, 117,547.74 and 25,789.68 is: 38,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394.32 : 117,547.74 = 25,789.68 : x
  2. Step 2: Convert to fraction form
    78,394.32/117,547.74 = 25,789.68/x
  3. Step 3: Cross multiply
    78,394.32x = 117,547.74 × 25,789.68
  4. Step 4: Simplify right side
    78,394.32x = 3,031,518,599.32
  5. Step 5: Solve for x
    x = 3,031,518,599.32/78,394.32
  6. Step 6: Final answer
    x = 38,670.13

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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.