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Finding the Fourth Proportional to 77,274, 115,925.58 and 35,721

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Solution

The fourth proportional to 77,274, 115,925.58 and 35,721 is: 53,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,274 : 115,925.58 = 35,721 : x
  2. Step 2: Convert to fraction form
    77,274/115,925.58 = 35,721/x
  3. Step 3: Cross multiply
    77,274x = 115,925.58 × 35,721
  4. Step 4: Simplify right side
    77,274x = 4,140,977,643.18
  5. Step 5: Solve for x
    x = 4,140,977,643.18/77,274
  6. Step 6: Final answer
    x = 53,588.24

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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.