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Finding the Fourth Proportional to 136,748, 205,219.20 and 53,642

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Solution

The fourth proportional to 136,748, 205,219.20 and 53,642 is: 80,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,748 : 205,219.20 = 53,642 : x
  2. Step 2: Convert to fraction form
    136,748/205,219.20 = 53,642/x
  3. Step 3: Cross multiply
    136,748x = 205,219.20 × 53,642
  4. Step 4: Simplify right side
    136,748x = 11,008,368,326.40
  5. Step 5: Solve for x
    x = 11,008,368,326.40/136,748
  6. Step 6: Final answer
    x = 80,501.13

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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.