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Finding the Fourth Proportional to 77,580, 116,376.75 and 21,420.18

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Solution

The fourth proportional to 77,580, 116,376.75 and 21,420.18 is: 32,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580 : 116,376.75 = 21,420.18 : x
  2. Step 2: Convert to fraction form
    77,580/116,376.75 = 21,420.18/x
  3. Step 3: Cross multiply
    77,580x = 116,376.75 × 21,420.18
  4. Step 4: Simplify right side
    77,580x = 2,492,810,932.82
  5. Step 5: Solve for x
    x = 2,492,810,932.82/77,580
  6. Step 6: Final answer
    x = 32,132.13

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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.