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Finding the Fourth Proportional to 191,242.80, 286,921.80 and 102,538.80

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Solution

The fourth proportional to 191,242.80, 286,921.80 and 102,538.80 is: 153,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,242.80 : 286,921.80 = 102,538.80 : x
  2. Step 2: Convert to fraction form
    191,242.80/286,921.80 = 102,538.80/x
  3. Step 3: Cross multiply
    191,242.80x = 286,921.80 × 102,538.80
  4. Step 4: Simplify right side
    191,242.80x = 29,420,617,065.84
  5. Step 5: Solve for x
    x = 29,420,617,065.84/191,242.80
  6. Step 6: Final answer
    x = 153,839.08

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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.