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Finding the Fourth Proportional to 176,136, 243,067.70 and 100,686.12

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Solution

The fourth proportional to 176,136, 243,067.70 and 100,686.12 is: 138,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,136 : 243,067.70 = 100,686.12 : x
  2. Step 2: Convert to fraction form
    176,136/243,067.70 = 100,686.12/x
  3. Step 3: Cross multiply
    176,136x = 243,067.70 × 100,686.12
  4. Step 4: Simplify right side
    176,136x = 24,473,543,106.89
  5. Step 5: Solve for x
    x = 24,473,543,106.89/176,136
  6. Step 6: Final answer
    x = 138,946.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.