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Finding the Fourth Proportional to 136,680.61, 205,035.50 and 57,802.81

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Solution

The fourth proportional to 136,680.61, 205,035.50 and 57,802.81 is: 86,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,680.61 : 205,035.50 = 57,802.81 : x
  2. Step 2: Convert to fraction form
    136,680.61/205,035.50 = 57,802.81/x
  3. Step 3: Cross multiply
    136,680.61x = 205,035.50 × 57,802.81
  4. Step 4: Simplify right side
    136,680.61x = 11,851,628,049.76
  5. Step 5: Solve for x
    x = 11,851,628,049.76/136,680.61
  6. Step 6: Final answer
    x = 86,710.38

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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.