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Finding the Fourth Proportional to 78,030.08, 117,064.32 and 22,626.08

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Solution

The fourth proportional to 78,030.08, 117,064.32 and 22,626.08 is: 33,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,030.08 : 117,064.32 = 22,626.08 : x
  2. Step 2: Convert to fraction form
    78,030.08/117,064.32 = 22,626.08/x
  3. Step 3: Cross multiply
    78,030.08x = 117,064.32 × 22,626.08
  4. Step 4: Simplify right side
    78,030.08x = 2,648,706,669.47
  5. Step 5: Solve for x
    x = 2,648,706,669.47/78,030.08
  6. Step 6: Final answer
    x = 33,944.69

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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.