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Finding the Fourth Proportional to 121,870.77, 182,768.90 and 42,966.54

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Solution

The fourth proportional to 121,870.77, 182,768.90 and 42,966.54 is: 64,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,870.77 : 182,768.90 = 42,966.54 : x
  2. Step 2: Convert to fraction form
    121,870.77/182,768.90 = 42,966.54/x
  3. Step 3: Cross multiply
    121,870.77x = 182,768.90 × 42,966.54
  4. Step 4: Simplify right side
    121,870.77x = 7,852,947,252.61
  5. Step 5: Solve for x
    x = 7,852,947,252.61/121,870.77
  6. Step 6: Final answer
    x = 64,436.68

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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.