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Finding the Fourth Proportional to 102,341.84, 153,383.76 and 54,839.12

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Solution

The fourth proportional to 102,341.84, 153,383.76 and 54,839.12 is: 82,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,341.84 : 153,383.76 = 54,839.12 : x
  2. Step 2: Convert to fraction form
    102,341.84/153,383.76 = 54,839.12/x
  3. Step 3: Cross multiply
    102,341.84x = 153,383.76 × 54,839.12
  4. Step 4: Simplify right side
    102,341.84x = 8,411,430,420.69
  5. Step 5: Solve for x
    x = 8,411,430,420.69/102,341.84
  6. Step 6: Final answer
    x = 82,189.56

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1.5x scale

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.