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Finding the Fourth Proportional to 73,242.39, 109,782.99 and 47,931.51

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Solution

The fourth proportional to 73,242.39, 109,782.99 and 47,931.51 is: 71,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,242.39 : 109,782.99 = 47,931.51 : x
  2. Step 2: Convert to fraction form
    73,242.39/109,782.99 = 47,931.51/x
  3. Step 3: Cross multiply
    73,242.39x = 109,782.99 × 47,931.51
  4. Step 4: Simplify right side
    73,242.39x = 5,262,064,483.01
  5. Step 5: Solve for x
    x = 5,262,064,483.01/73,242.39
  6. Step 6: Final answer
    x = 71,844.52

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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.