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Finding the Fourth Proportional to 78,405.40, 117,619.62 and 25,802.20

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Solution

The fourth proportional to 78,405.40, 117,619.62 and 25,802.20 is: 38,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.40 : 117,619.62 = 25,802.20 : x
  2. Step 2: Convert to fraction form
    78,405.40/117,619.62 = 25,802.20/x
  3. Step 3: Cross multiply
    78,405.40x = 117,619.62 × 25,802.20
  4. Step 4: Simplify right side
    78,405.40x = 3,034,844,959.16
  5. Step 5: Solve for x
    x = 3,034,844,959.16/78,405.40
  6. Step 6: Final answer
    x = 38,707.09

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1.5x scale

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.