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Finding the Fourth Proportional to 66,740.84, 100,007.58 and 42,065

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Solution

The fourth proportional to 66,740.84, 100,007.58 and 42,065 is: 63,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,740.84 : 100,007.58 = 42,065 : x
  2. Step 2: Convert to fraction form
    66,740.84/100,007.58 = 42,065/x
  3. Step 3: Cross multiply
    66,740.84x = 100,007.58 × 42,065
  4. Step 4: Simplify right side
    66,740.84x = 4,206,818,852.70
  5. Step 5: Solve for x
    x = 4,206,818,852.70/66,740.84
  6. Step 6: Final answer
    x = 63,032.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.