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Finding the Fourth Proportional to 78,309.58, 117,463.32 and 19,145.76

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Solution

The fourth proportional to 78,309.58, 117,463.32 and 19,145.76 is: 28,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,309.58 : 117,463.32 = 19,145.76 : x
  2. Step 2: Convert to fraction form
    78,309.58/117,463.32 = 19,145.76/x
  3. Step 3: Cross multiply
    78,309.58x = 117,463.32 × 19,145.76
  4. Step 4: Simplify right side
    78,309.58x = 2,248,924,533.52
  5. Step 5: Solve for x
    x = 2,248,924,533.52/78,309.58
  6. Step 6: Final answer
    x = 28,718.38

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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.