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Finding the Fourth Proportional to 119,444.90, 178,970.41 and 69,384.47

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Solution

The fourth proportional to 119,444.90, 178,970.41 and 69,384.47 is: 103,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,444.90 : 178,970.41 = 69,384.47 : x
  2. Step 2: Convert to fraction form
    119,444.90/178,970.41 = 69,384.47/x
  3. Step 3: Cross multiply
    119,444.90x = 178,970.41 × 69,384.47
  4. Step 4: Simplify right side
    119,444.90x = 12,417,766,235.41
  5. Step 5: Solve for x
    x = 12,417,766,235.41/119,444.90
  6. Step 6: Final answer
    x = 103,962.30

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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.