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Finding the Fourth Proportional to 76,780.84, 105,957.80 and 44,521.72

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Solution

The fourth proportional to 76,780.84, 105,957.80 and 44,521.72 is: 61,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,780.84 : 105,957.80 = 44,521.72 : x
  2. Step 2: Convert to fraction form
    76,780.84/105,957.80 = 44,521.72/x
  3. Step 3: Cross multiply
    76,780.84x = 105,957.80 × 44,521.72
  4. Step 4: Simplify right side
    76,780.84x = 4,717,423,503.42
  5. Step 5: Solve for x
    x = 4,717,423,503.42/76,780.84
  6. Step 6: Final answer
    x = 61,440.11

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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.