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Finding the Fourth Proportional to 138,000.08, 190,439.16 and 78,384.08

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Solution

The fourth proportional to 138,000.08, 190,439.16 and 78,384.08 is: 108,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,000.08 : 190,439.16 = 78,384.08 : x
  2. Step 2: Convert to fraction form
    138,000.08/190,439.16 = 78,384.08/x
  3. Step 3: Cross multiply
    138,000.08x = 190,439.16 × 78,384.08
  4. Step 4: Simplify right side
    138,000.08x = 14,927,398,352.57
  5. Step 5: Solve for x
    x = 14,927,398,352.57/138,000.08
  6. Step 6: Final answer
    x = 108,169.49

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1.5x scale

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.