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Finding the Fourth Proportional to 78,406.68, 117,565.74 and 25,802.04

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Solution

The fourth proportional to 78,406.68, 117,565.74 and 25,802.04 is: 38,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,406.68 : 117,565.74 = 25,802.04 : x
  2. Step 2: Convert to fraction form
    78,406.68/117,565.74 = 25,802.04/x
  3. Step 3: Cross multiply
    78,406.68x = 117,565.74 × 25,802.04
  4. Step 4: Simplify right side
    78,406.68x = 3,033,435,926.11
  5. Step 5: Solve for x
    x = 3,033,435,926.11/78,406.68
  6. Step 6: Final answer
    x = 38,688.49

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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.