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Finding the Fourth Proportional to 190,992.12, 286,244.64 and 78,543.78

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Solution

The fourth proportional to 190,992.12, 286,244.64 and 78,543.78 is: 117,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,992.12 : 286,244.64 = 78,543.78 : x
  2. Step 2: Convert to fraction form
    190,992.12/286,244.64 = 78,543.78/x
  3. Step 3: Cross multiply
    190,992.12x = 286,244.64 × 78,543.78
  4. Step 4: Simplify right side
    190,992.12x = 22,482,736,030.34
  5. Step 5: Solve for x
    x = 22,482,736,030.34/190,992.12
  6. Step 6: Final answer
    x = 117,715.52

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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.