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Finding the Fourth Proportional to 105,642.72, 145,787.16 and 57,897.84

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Solution

The fourth proportional to 105,642.72, 145,787.16 and 57,897.84 is: 79,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642.72 : 145,787.16 = 57,897.84 : x
  2. Step 2: Convert to fraction form
    105,642.72/145,787.16 = 57,897.84/x
  3. Step 3: Cross multiply
    105,642.72x = 145,787.16 × 57,897.84
  4. Step 4: Simplify right side
    105,642.72x = 8,440,761,663.73
  5. Step 5: Solve for x
    x = 8,440,761,663.73/105,642.72
  6. Step 6: Final answer
    x = 79,899.13

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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.