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Finding the Fourth Proportional to 231,072.95, 318,710.08 and 146,108

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Solution

The fourth proportional to 231,072.95, 318,710.08 and 146,108 is: 201,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,072.95 : 318,710.08 = 146,108 : x
  2. Step 2: Convert to fraction form
    231,072.95/318,710.08 = 146,108/x
  3. Step 3: Cross multiply
    231,072.95x = 318,710.08 × 146,108
  4. Step 4: Simplify right side
    231,072.95x = 46,566,092,368.64
  5. Step 5: Solve for x
    x = 46,566,092,368.64/231,072.95
  6. Step 6: Final answer
    x = 201,521.17

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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.