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Finding the Fourth Proportional to 190,798.56, 286,290 and 78,562.08

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Solution

The fourth proportional to 190,798.56, 286,290 and 78,562.08 is: 117,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,798.56 : 286,290 = 78,562.08 : x
  2. Step 2: Convert to fraction form
    190,798.56/286,290 = 78,562.08/x
  3. Step 3: Cross multiply
    190,798.56x = 286,290 × 78,562.08
  4. Step 4: Simplify right side
    190,798.56x = 22,491,537,883.20
  5. Step 5: Solve for x
    x = 22,491,537,883.20/190,798.56
  6. Step 6: Final answer
    x = 117,881.07

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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.