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Finding the Fourth Proportional to 77,970.78, 116,955.15 and 18,806.01

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Solution

The fourth proportional to 77,970.78, 116,955.15 and 18,806.01 is: 28,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970.78 : 116,955.15 = 18,806.01 : x
  2. Step 2: Convert to fraction form
    77,970.78/116,955.15 = 18,806.01/x
  3. Step 3: Cross multiply
    77,970.78x = 116,955.15 × 18,806.01
  4. Step 4: Simplify right side
    77,970.78x = 2,199,459,720.45
  5. Step 5: Solve for x
    x = 2,199,459,720.45/77,970.78
  6. Step 6: Final answer
    x = 28,208.77

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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.