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Finding the Fourth Proportional to 78,388.61, 117,602.45 and 22,984.61

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Solution

The fourth proportional to 78,388.61, 117,602.45 and 22,984.61 is: 34,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,388.61 : 117,602.45 = 22,984.61 : x
  2. Step 2: Convert to fraction form
    78,388.61/117,602.45 = 22,984.61/x
  3. Step 3: Cross multiply
    78,388.61x = 117,602.45 × 22,984.61
  4. Step 4: Simplify right side
    78,388.61x = 2,703,046,448.29
  5. Step 5: Solve for x
    x = 2,703,046,448.29/78,388.61
  6. Step 6: Final answer
    x = 34,482.64

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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.