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Finding the Fourth Proportional to 229,029.84, 316,061.28 and 139,605.84

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Solution

The fourth proportional to 229,029.84, 316,061.28 and 139,605.84 is: 192,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,029.84 : 316,061.28 = 139,605.84 : x
  2. Step 2: Convert to fraction form
    229,029.84/316,061.28 = 139,605.84/x
  3. Step 3: Cross multiply
    229,029.84x = 316,061.28 × 139,605.84
  4. Step 4: Simplify right side
    229,029.84x = 44,124,000,485.88
  5. Step 5: Solve for x
    x = 44,124,000,485.88/229,029.84
  6. Step 6: Final answer
    x = 192,656.12

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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.