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Finding the Fourth Proportional to 78,503.59, 117,756.74 and 22,345.14

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Solution

The fourth proportional to 78,503.59, 117,756.74 and 22,345.14 is: 33,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,503.59 : 117,756.74 = 22,345.14 : x
  2. Step 2: Convert to fraction form
    78,503.59/117,756.74 = 22,345.14/x
  3. Step 3: Cross multiply
    78,503.59x = 117,756.74 × 22,345.14
  4. Step 4: Simplify right side
    78,503.59x = 2,631,290,729.52
  5. Step 5: Solve for x
    x = 2,631,290,729.52/78,503.59
  6. Step 6: Final answer
    x = 33,518.10

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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.