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Finding the Fourth Proportional to 77,372, 116,064.75 and 21,968

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Solution

The fourth proportional to 77,372, 116,064.75 and 21,968 is: 32,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,372 : 116,064.75 = 21,968 : x
  2. Step 2: Convert to fraction form
    77,372/116,064.75 = 21,968/x
  3. Step 3: Cross multiply
    77,372x = 116,064.75 × 21,968
  4. Step 4: Simplify right side
    77,372x = 2,549,710,428
  5. Step 5: Solve for x
    x = 2,549,710,428/77,372
  6. Step 6: Final answer
    x = 32,953.92

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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.